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Finding the Fourth Proportional to 784.98, 1,082.84 and 523.17

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Solution

The fourth proportional to 784.98, 1,082.84 and 523.17 is: 721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.98 : 1,082.84 = 523.17 : x
  2. Step 2: Convert to fraction form
    784.98/1,082.84 = 523.17/x
  3. Step 3: Cross multiply
    784.98x = 1,082.84 × 523.17
  4. Step 4: Simplify right side
    784.98x = 566,506.79
  5. Step 5: Solve for x
    x = 566,506.79/784.98
  6. Step 6: Final answer
    x = 721.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.