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Finding the Fourth Proportional to 784.90, 1,082.46 and 523

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Solution

The fourth proportional to 784.90, 1,082.46 and 523 is: 721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.90 : 1,082.46 = 523 : x
  2. Step 2: Convert to fraction form
    784.90/1,082.46 = 523/x
  3. Step 3: Cross multiply
    784.90x = 1,082.46 × 523
  4. Step 4: Simplify right side
    784.90x = 566,126.58
  5. Step 5: Solve for x
    x = 566,126.58/784.90
  6. Step 6: Final answer
    x = 721.27

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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.