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Finding the Fourth Proportional to 762.53, 1,052.07 and 514.13

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Solution

The fourth proportional to 762.53, 1,052.07 and 514.13 is: 709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.53 : 1,052.07 = 514.13 : x
  2. Step 2: Convert to fraction form
    762.53/1,052.07 = 514.13/x
  3. Step 3: Cross multiply
    762.53x = 1,052.07 × 514.13
  4. Step 4: Simplify right side
    762.53x = 540,900.75
  5. Step 5: Solve for x
    x = 540,900.75/762.53
  6. Step 6: Final answer
    x = 709.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.