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Finding the Fourth Proportional to 721.23, 1,082.14 and 356.02

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Solution

The fourth proportional to 721.23, 1,082.14 and 356.02 is: 534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.23 : 1,082.14 = 356.02 : x
  2. Step 2: Convert to fraction form
    721.23/1,082.14 = 356.02/x
  3. Step 3: Cross multiply
    721.23x = 1,082.14 × 356.02
  4. Step 4: Simplify right side
    721.23x = 385,263.48
  5. Step 5: Solve for x
    x = 385,263.48/721.23
  6. Step 6: Final answer
    x = 534.18

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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.