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Finding the Fourth Proportional to 723.68, 1,082.94 and 505.88

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Solution

The fourth proportional to 723.68, 1,082.94 and 505.88 is: 757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.68 : 1,082.94 = 505.88 : x
  2. Step 2: Convert to fraction form
    723.68/1,082.94 = 505.88/x
  3. Step 3: Cross multiply
    723.68x = 1,082.94 × 505.88
  4. Step 4: Simplify right side
    723.68x = 547,837.69
  5. Step 5: Solve for x
    x = 547,837.69/723.68
  6. Step 6: Final answer
    x = 757.02

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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.