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Finding the Fourth Proportional to 937.76, 1,294.09 and 544.76

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Solution

The fourth proportional to 937.76, 1,294.09 and 544.76 is: 751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.76 : 1,294.09 = 544.76 : x
  2. Step 2: Convert to fraction form
    937.76/1,294.09 = 544.76/x
  3. Step 3: Cross multiply
    937.76x = 1,294.09 × 544.76
  4. Step 4: Simplify right side
    937.76x = 704,960.64
  5. Step 5: Solve for x
    x = 704,960.64/937.76
  6. Step 6: Final answer
    x = 751.75

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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.