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Finding the Fourth Proportional to 1,098.26, 1,516.61 and 705.96

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Solution

The fourth proportional to 1,098.26, 1,516.61 and 705.96 is: 974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.26 : 1,516.61 = 705.96 : x
  2. Step 2: Convert to fraction form
    1,098.26/1,516.61 = 705.96/x
  3. Step 3: Cross multiply
    1,098.26x = 1,516.61 × 705.96
  4. Step 4: Simplify right side
    1,098.26x = 1,070,667.76
  5. Step 5: Solve for x
    x = 1,070,667.76/1,098.26
  6. Step 6: Final answer
    x = 974.88

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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.