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Finding the Fourth Proportional to 1,566.92, 2,349.16 and 642.71

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Solution

The fourth proportional to 1,566.92, 2,349.16 and 642.71 is: 963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.92 : 2,349.16 = 642.71 : x
  2. Step 2: Convert to fraction form
    1,566.92/2,349.16 = 642.71/x
  3. Step 3: Cross multiply
    1,566.92x = 2,349.16 × 642.71
  4. Step 4: Simplify right side
    1,566.92x = 1,509,828.62
  5. Step 5: Solve for x
    x = 1,509,828.62/1,566.92
  6. Step 6: Final answer
    x = 963.56

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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.