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Finding the Fourth Proportional to 716.88, 1,073.04 and 391.20

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Solution

The fourth proportional to 716.88, 1,073.04 and 391.20 is: 585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.88 : 1,073.04 = 391.20 : x
  2. Step 2: Convert to fraction form
    716.88/1,073.04 = 391.20/x
  3. Step 3: Cross multiply
    716.88x = 1,073.04 × 391.20
  4. Step 4: Simplify right side
    716.88x = 419,773.25
  5. Step 5: Solve for x
    x = 419,773.25/716.88
  6. Step 6: Final answer
    x = 585.56

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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.