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Finding the Fourth Proportional to 727.62, 1,003.14 and 494.34

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Solution

The fourth proportional to 727.62, 1,003.14 and 494.34 is: 681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.62 : 1,003.14 = 494.34 : x
  2. Step 2: Convert to fraction form
    727.62/1,003.14 = 494.34/x
  3. Step 3: Cross multiply
    727.62x = 1,003.14 × 494.34
  4. Step 4: Simplify right side
    727.62x = 495,892.23
  5. Step 5: Solve for x
    x = 495,892.23/727.62
  6. Step 6: Final answer
    x = 681.53

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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.