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Finding the Fourth Proportional to 765.17, 1,145.32 and 546.20

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Solution

The fourth proportional to 765.17, 1,145.32 and 546.20 is: 817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.17 : 1,145.32 = 546.20 : x
  2. Step 2: Convert to fraction form
    765.17/1,145.32 = 546.20/x
  3. Step 3: Cross multiply
    765.17x = 1,145.32 × 546.20
  4. Step 4: Simplify right side
    765.17x = 625,573.78
  5. Step 5: Solve for x
    x = 625,573.78/765.17
  6. Step 6: Final answer
    x = 817.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.