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Finding the Fourth Proportional to 765.16, 1,147.74 and 546.78

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Solution

The fourth proportional to 765.16, 1,147.74 and 546.78 is: 820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.16 : 1,147.74 = 546.78 : x
  2. Step 2: Convert to fraction form
    765.16/1,147.74 = 546.78/x
  3. Step 3: Cross multiply
    765.16x = 1,147.74 × 546.78
  4. Step 4: Simplify right side
    765.16x = 627,561.28
  5. Step 5: Solve for x
    x = 627,561.28/765.16
  6. Step 6: Final answer
    x = 820.17

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Why These Related Problems?

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