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Finding the Fourth Proportional to 747.06, 1,030.95 and 514.14

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Solution

The fourth proportional to 747.06, 1,030.95 and 514.14 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.06 : 1,030.95 = 514.14 : x
  2. Step 2: Convert to fraction form
    747.06/1,030.95 = 514.14/x
  3. Step 3: Cross multiply
    747.06x = 1,030.95 × 514.14
  4. Step 4: Simplify right side
    747.06x = 530,052.63
  5. Step 5: Solve for x
    x = 530,052.63/747.06
  6. Step 6: Final answer
    x = 709.52

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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.