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Finding the Fourth Proportional to 801.29, 1,202.15 and 582.13

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Solution

The fourth proportional to 801.29, 1,202.15 and 582.13 is: 873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.29 : 1,202.15 = 582.13 : x
  2. Step 2: Convert to fraction form
    801.29/1,202.15 = 582.13/x
  3. Step 3: Cross multiply
    801.29x = 1,202.15 × 582.13
  4. Step 4: Simplify right side
    801.29x = 699,806.03
  5. Step 5: Solve for x
    x = 699,806.03/801.29
  6. Step 6: Final answer
    x = 873.35

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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.