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Finding the Fourth Proportional to 801.42, 1,105.40 and 490.92

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Solution

The fourth proportional to 801.42, 1,105.40 and 490.92 is: 677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.42 : 1,105.40 = 490.92 : x
  2. Step 2: Convert to fraction form
    801.42/1,105.40 = 490.92/x
  3. Step 3: Cross multiply
    801.42x = 1,105.40 × 490.92
  4. Step 4: Simplify right side
    801.42x = 542,662.97
  5. Step 5: Solve for x
    x = 542,662.97/801.42
  6. Step 6: Final answer
    x = 677.13

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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.