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Finding the Fourth Proportional to 937.11, 1,292.70 and 563.86

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Solution

The fourth proportional to 937.11, 1,292.70 and 563.86 is: 777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.11 : 1,292.70 = 563.86 : x
  2. Step 2: Convert to fraction form
    937.11/1,292.70 = 563.86/x
  3. Step 3: Cross multiply
    937.11x = 1,292.70 × 563.86
  4. Step 4: Simplify right side
    937.11x = 728,901.59
  5. Step 5: Solve for x
    x = 728,901.59/937.11
  6. Step 6: Final answer
    x = 777.82

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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.