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Finding the Fourth Proportional to 764.29, 1,146.53 and 560.17

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Solution

The fourth proportional to 764.29, 1,146.53 and 560.17 is: 840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.29 : 1,146.53 = 560.17 : x
  2. Step 2: Convert to fraction form
    764.29/1,146.53 = 560.17/x
  3. Step 3: Cross multiply
    764.29x = 1,146.53 × 560.17
  4. Step 4: Simplify right side
    764.29x = 642,251.71
  5. Step 5: Solve for x
    x = 642,251.71/764.29
  6. Step 6: Final answer
    x = 840.32

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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.