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Finding the Fourth Proportional to 937.86, 1,294.28 and 544.78

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Solution

The fourth proportional to 937.86, 1,294.28 and 544.78 is: 751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.86 : 1,294.28 = 544.78 : x
  2. Step 2: Convert to fraction form
    937.86/1,294.28 = 544.78/x
  3. Step 3: Cross multiply
    937.86x = 1,294.28 × 544.78
  4. Step 4: Simplify right side
    937.86x = 705,097.86
  5. Step 5: Solve for x
    x = 705,097.86/937.86
  6. Step 6: Final answer
    x = 751.82

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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.