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Finding the Fourth Proportional to 1,098.96, 1,516.59 and 656.90

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Solution

The fourth proportional to 1,098.96, 1,516.59 and 656.90 is: 906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.96 : 1,516.59 = 656.90 : x
  2. Step 2: Convert to fraction form
    1,098.96/1,516.59 = 656.90/x
  3. Step 3: Cross multiply
    1,098.96x = 1,516.59 × 656.90
  4. Step 4: Simplify right side
    1,098.96x = 996,247.97
  5. Step 5: Solve for x
    x = 996,247.97/1,098.96
  6. Step 6: Final answer
    x = 906.54

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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.