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Finding the Fourth Proportional to 1,098.83, 1,516.52 and 633.17

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Solution

The fourth proportional to 1,098.83, 1,516.52 and 633.17 is: 873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.83 : 1,516.52 = 633.17 : x
  2. Step 2: Convert to fraction form
    1,098.83/1,516.52 = 633.17/x
  3. Step 3: Cross multiply
    1,098.83x = 1,516.52 × 633.17
  4. Step 4: Simplify right side
    1,098.83x = 960,214.97
  5. Step 5: Solve for x
    x = 960,214.97/1,098.83
  6. Step 6: Final answer
    x = 873.85

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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.