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Finding the Fourth Proportional to 1,085.24, 1,628.62 and 436.12

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Solution

The fourth proportional to 1,085.24, 1,628.62 and 436.12 is: 654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.24 : 1,628.62 = 436.12 : x
  2. Step 2: Convert to fraction form
    1,085.24/1,628.62 = 436.12/x
  3. Step 3: Cross multiply
    1,085.24x = 1,628.62 × 436.12
  4. Step 4: Simplify right side
    1,085.24x = 710,273.75
  5. Step 5: Solve for x
    x = 710,273.75/1,085.24
  6. Step 6: Final answer
    x = 654.49

Related Problems

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Half scale
Find fourth proportional to 2,170.48, 3,257.24 and 872.24
Double scale
Find fourth proportional to 1,086.24, 1,630.12 and 437.12
Similar ratio
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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.