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Finding the Fourth Proportional to 1,098.73, 1,516.26 and 706.42

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Solution

The fourth proportional to 1,098.73, 1,516.26 and 706.42 is: 974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.73 : 1,516.26 = 706.42 : x
  2. Step 2: Convert to fraction form
    1,098.73/1,516.26 = 706.42/x
  3. Step 3: Cross multiply
    1,098.73x = 1,516.26 × 706.42
  4. Step 4: Simplify right side
    1,098.73x = 1,071,116.39
  5. Step 5: Solve for x
    x = 1,071,116.39/1,098.73
  6. Step 6: Final answer
    x = 974.87

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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.