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Finding the Fourth Proportional to 766.55, 1,057.51 and 517.78

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Solution

The fourth proportional to 766.55, 1,057.51 and 517.78 is: 714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.55 : 1,057.51 = 517.78 : x
  2. Step 2: Convert to fraction form
    766.55/1,057.51 = 517.78/x
  3. Step 3: Cross multiply
    766.55x = 1,057.51 × 517.78
  4. Step 4: Simplify right side
    766.55x = 547,555.10
  5. Step 5: Solve for x
    x = 547,555.10/766.55
  6. Step 6: Final answer
    x = 714.31

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