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Finding the Fourth Proportional to 1,098.66, 1,516.05 and 656.46

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Solution

The fourth proportional to 1,098.66, 1,516.05 and 656.46 is: 905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.66 : 1,516.05 = 656.46 : x
  2. Step 2: Convert to fraction form
    1,098.66/1,516.05 = 656.46/x
  3. Step 3: Cross multiply
    1,098.66x = 1,516.05 × 656.46
  4. Step 4: Simplify right side
    1,098.66x = 995,226.18
  5. Step 5: Solve for x
    x = 995,226.18/1,098.66
  6. Step 6: Final answer
    x = 905.85

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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.