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Finding the Fourth Proportional to 1,098.97, 1,516.52 and 656.91

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Solution

The fourth proportional to 1,098.97, 1,516.52 and 656.91 is: 906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.97 : 1,516.52 = 656.91 : x
  2. Step 2: Convert to fraction form
    1,098.97/1,516.52 = 656.91/x
  3. Step 3: Cross multiply
    1,098.97x = 1,516.52 × 656.91
  4. Step 4: Simplify right side
    1,098.97x = 996,218.80
  5. Step 5: Solve for x
    x = 996,218.80/1,098.97
  6. Step 6: Final answer
    x = 906.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.