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Finding the Fourth Proportional to 1,098.92, 1,648.32 and 318.91

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Solution

The fourth proportional to 1,098.92, 1,648.32 and 318.91 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.92 : 1,648.32 = 318.91 : x
  2. Step 2: Convert to fraction form
    1,098.92/1,648.32 = 318.91/x
  3. Step 3: Cross multiply
    1,098.92x = 1,648.32 × 318.91
  4. Step 4: Simplify right side
    1,098.92x = 525,665.11
  5. Step 5: Solve for x
    x = 525,665.11/1,098.92
  6. Step 6: Final answer
    x = 478.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.