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Finding the Fourth Proportional to 1,302.14, 1,952.74 and 436.25

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Solution

The fourth proportional to 1,302.14, 1,952.74 and 436.25 is: 654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.14 : 1,952.74 = 436.25 : x
  2. Step 2: Convert to fraction form
    1,302.14/1,952.74 = 436.25/x
  3. Step 3: Cross multiply
    1,302.14x = 1,952.74 × 436.25
  4. Step 4: Simplify right side
    1,302.14x = 851,882.83
  5. Step 5: Solve for x
    x = 851,882.83/1,302.14
  6. Step 6: Final answer
    x = 654.22

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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.