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Finding the Fourth Proportional to 877.97, 1,211.23 and 616.16

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Solution

The fourth proportional to 877.97, 1,211.23 and 616.16 is: 850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.97 : 1,211.23 = 616.16 : x
  2. Step 2: Convert to fraction form
    877.97/1,211.23 = 616.16/x
  3. Step 3: Cross multiply
    877.97x = 1,211.23 × 616.16
  4. Step 4: Simplify right side
    877.97x = 746,311.48
  5. Step 5: Solve for x
    x = 746,311.48/877.97
  6. Step 6: Final answer
    x = 850.04

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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.