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Finding the Fourth Proportional to 937.32, 1,294.50 and 729.98

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Solution

The fourth proportional to 937.32, 1,294.50 and 729.98 is: 1,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.32 : 1,294.50 = 729.98 : x
  2. Step 2: Convert to fraction form
    937.32/1,294.50 = 729.98/x
  3. Step 3: Cross multiply
    937.32x = 1,294.50 × 729.98
  4. Step 4: Simplify right side
    937.32x = 944,959.11
  5. Step 5: Solve for x
    x = 944,959.11/937.32
  6. Step 6: Final answer
    x = 1,008.15

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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.