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Finding the Fourth Proportional to 727.85, 1,002.81 and 478.73

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Solution

The fourth proportional to 727.85, 1,002.81 and 478.73 is: 659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.85 : 1,002.81 = 478.73 : x
  2. Step 2: Convert to fraction form
    727.85/1,002.81 = 478.73/x
  3. Step 3: Cross multiply
    727.85x = 1,002.81 × 478.73
  4. Step 4: Simplify right side
    727.85x = 480,070.22
  5. Step 5: Solve for x
    x = 480,070.22/727.85
  6. Step 6: Final answer
    x = 659.58

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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.