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Finding the Fourth Proportional to 1,098.24, 1,645.92 and 708.12

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Solution

The fourth proportional to 1,098.24, 1,645.92 and 708.12 is: 1,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.24 : 1,645.92 = 708.12 : x
  2. Step 2: Convert to fraction form
    1,098.24/1,645.92 = 708.12/x
  3. Step 3: Cross multiply
    1,098.24x = 1,645.92 × 708.12
  4. Step 4: Simplify right side
    1,098.24x = 1,165,508.87
  5. Step 5: Solve for x
    x = 1,165,508.87/1,098.24
  6. Step 6: Final answer
    x = 1,061.25

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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.