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Finding the Fourth Proportional to 747.03, 1,030.92 and 514.14

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Solution

The fourth proportional to 747.03, 1,030.92 and 514.14 is: 709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.03 : 1,030.92 = 514.14 : x
  2. Step 2: Convert to fraction form
    747.03/1,030.92 = 514.14/x
  3. Step 3: Cross multiply
    747.03x = 1,030.92 × 514.14
  4. Step 4: Simplify right side
    747.03x = 530,037.21
  5. Step 5: Solve for x
    x = 530,037.21/747.03
  6. Step 6: Final answer
    x = 709.53

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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.