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Finding the Fourth Proportional to 733.42, 1,011.54 and 566.92

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Solution

The fourth proportional to 733.42, 1,011.54 and 566.92 is: 781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.42 : 1,011.54 = 566.92 : x
  2. Step 2: Convert to fraction form
    733.42/1,011.54 = 566.92/x
  3. Step 3: Cross multiply
    733.42x = 1,011.54 × 566.92
  4. Step 4: Simplify right side
    733.42x = 573,462.26
  5. Step 5: Solve for x
    x = 573,462.26/733.42
  6. Step 6: Final answer
    x = 781.90

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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.