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Finding the Fourth Proportional to 721.41, 1,082.34 and 397.00

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Solution

The fourth proportional to 721.41, 1,082.34 and 397.00 is: 595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.41 : 1,082.34 = 397.00 : x
  2. Step 2: Convert to fraction form
    721.41/1,082.34 = 397.00/x
  3. Step 3: Cross multiply
    721.41x = 1,082.34 × 397.00
  4. Step 4: Simplify right side
    721.41x = 429,689.22
  5. Step 5: Solve for x
    x = 429,689.22/721.41
  6. Step 6: Final answer
    x = 595.63

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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.