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Finding the Fourth Proportional to 1,098.80, 1,516.38 and 656.97

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Solution

The fourth proportional to 1,098.80, 1,516.38 and 656.97 is: 906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.80 : 1,516.38 = 656.97 : x
  2. Step 2: Convert to fraction form
    1,098.80/1,516.38 = 656.97/x
  3. Step 3: Cross multiply
    1,098.80x = 1,516.38 × 656.97
  4. Step 4: Simplify right side
    1,098.80x = 996,216.17
  5. Step 5: Solve for x
    x = 996,216.17/1,098.80
  6. Step 6: Final answer
    x = 906.64

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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.