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Finding the Fourth Proportional to 801.32, 1,202.04 and 586.26

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Solution

The fourth proportional to 801.32, 1,202.04 and 586.26 is: 879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.32 : 1,202.04 = 586.26 : x
  2. Step 2: Convert to fraction form
    801.32/1,202.04 = 586.26/x
  3. Step 3: Cross multiply
    801.32x = 1,202.04 × 586.26
  4. Step 4: Simplify right side
    801.32x = 704,707.97
  5. Step 5: Solve for x
    x = 704,707.97/801.32
  6. Step 6: Final answer
    x = 879.44

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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.