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Finding the Fourth Proportional to 729.77, 1,007.46 and 493.93

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Solution

The fourth proportional to 729.77, 1,007.46 and 493.93 is: 681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.77 : 1,007.46 = 493.93 : x
  2. Step 2: Convert to fraction form
    729.77/1,007.46 = 493.93/x
  3. Step 3: Cross multiply
    729.77x = 1,007.46 × 493.93
  4. Step 4: Simplify right side
    729.77x = 497,614.72
  5. Step 5: Solve for x
    x = 497,614.72/729.77
  6. Step 6: Final answer
    x = 681.88

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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.