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Finding the Fourth Proportional to 877.92, 1,211.13 and 563.10

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Solution

The fourth proportional to 877.92, 1,211.13 and 563.10 is: 776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.92 : 1,211.13 = 563.10 : x
  2. Step 2: Convert to fraction form
    877.92/1,211.13 = 563.10/x
  3. Step 3: Cross multiply
    877.92x = 1,211.13 × 563.10
  4. Step 4: Simplify right side
    877.92x = 681,987.30
  5. Step 5: Solve for x
    x = 681,987.30/877.92
  6. Step 6: Final answer
    x = 776.82

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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.