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Finding the Fourth Proportional to 1,302.23, 1,952.12 and 435.94

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Solution

The fourth proportional to 1,302.23, 1,952.12 and 435.94 is: 653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.23 : 1,952.12 = 435.94 : x
  2. Step 2: Convert to fraction form
    1,302.23/1,952.12 = 435.94/x
  3. Step 3: Cross multiply
    1,302.23x = 1,952.12 × 435.94
  4. Step 4: Simplify right side
    1,302.23x = 851,003.40
  5. Step 5: Solve for x
    x = 851,003.40/1,302.23
  6. Step 6: Final answer
    x = 653.50

Related Problems

Find fourth proportional to 651.12, 976.06 and 217.97
Half scale
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Double scale
Find fourth proportional to 1,303.23, 1,953.62 and 436.94
Similar ratio
Find fourth proportional to 1,953.35, 2,928.18 and 653.91
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.