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Finding the Fourth Proportional to 727.01, 1,002.78 and 616.29

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Solution

The fourth proportional to 727.01, 1,002.78 and 616.29 is: 850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.01 : 1,002.78 = 616.29 : x
  2. Step 2: Convert to fraction form
    727.01/1,002.78 = 616.29/x
  3. Step 3: Cross multiply
    727.01x = 1,002.78 × 616.29
  4. Step 4: Simplify right side
    727.01x = 618,003.29
  5. Step 5: Solve for x
    x = 618,003.29/727.01
  6. Step 6: Final answer
    x = 850.07

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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.