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Finding the Fourth Proportional to 877.24, 1,211.16 and 767.92

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Solution

The fourth proportional to 877.24, 1,211.16 and 767.92 is: 1,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.24 : 1,211.16 = 767.92 : x
  2. Step 2: Convert to fraction form
    877.24/1,211.16 = 767.92/x
  3. Step 3: Cross multiply
    877.24x = 1,211.16 × 767.92
  4. Step 4: Simplify right side
    877.24x = 930,073.99
  5. Step 5: Solve for x
    x = 930,073.99/877.24
  6. Step 6: Final answer
    x = 1,060.23

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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.