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Finding the Fourth Proportional to 937.74, 1,294.12 and 564.83

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Solution

The fourth proportional to 937.74, 1,294.12 and 564.83 is: 779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.74 : 1,294.12 = 564.83 : x
  2. Step 2: Convert to fraction form
    937.74/1,294.12 = 564.83/x
  3. Step 3: Cross multiply
    937.74x = 1,294.12 × 564.83
  4. Step 4: Simplify right side
    937.74x = 730,957.80
  5. Step 5: Solve for x
    x = 730,957.80/937.74
  6. Step 6: Final answer
    x = 779.49

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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.