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Finding the Fourth Proportional to 721.22, 1,082.13 and 391.77

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Solution

The fourth proportional to 721.22, 1,082.13 and 391.77 is: 587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.22 : 1,082.13 = 391.77 : x
  2. Step 2: Convert to fraction form
    721.22/1,082.13 = 391.77/x
  3. Step 3: Cross multiply
    721.22x = 1,082.13 × 391.77
  4. Step 4: Simplify right side
    721.22x = 423,946.07
  5. Step 5: Solve for x
    x = 423,946.07/721.22
  6. Step 6: Final answer
    x = 587.82

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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.