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Finding the Fourth Proportional to 937.11, 1,292.61 and 563.85

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Solution

The fourth proportional to 937.11, 1,292.61 and 563.85 is: 777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.11 : 1,292.61 = 563.85 : x
  2. Step 2: Convert to fraction form
    937.11/1,292.61 = 563.85/x
  3. Step 3: Cross multiply
    937.11x = 1,292.61 × 563.85
  4. Step 4: Simplify right side
    937.11x = 728,838.15
  5. Step 5: Solve for x
    x = 728,838.15/937.11
  6. Step 6: Final answer
    x = 777.75

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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.