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Finding the Fourth Proportional to 1,098.98, 1,516.59 and 656.86

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Solution

The fourth proportional to 1,098.98, 1,516.59 and 656.86 is: 906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.98 : 1,516.59 = 656.86 : x
  2. Step 2: Convert to fraction form
    1,098.98/1,516.59 = 656.86/x
  3. Step 3: Cross multiply
    1,098.98x = 1,516.59 × 656.86
  4. Step 4: Simplify right side
    1,098.98x = 996,187.31
  5. Step 5: Solve for x
    x = 996,187.31/1,098.98
  6. Step 6: Final answer
    x = 906.47

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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.