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Finding the Fourth Proportional to 937.64, 1,404.84 and 729.48

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Solution

The fourth proportional to 937.64, 1,404.84 and 729.48 is: 1,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.64 : 1,404.84 = 729.48 : x
  2. Step 2: Convert to fraction form
    937.64/1,404.84 = 729.48/x
  3. Step 3: Cross multiply
    937.64x = 1,404.84 × 729.48
  4. Step 4: Simplify right side
    937.64x = 1,024,802.68
  5. Step 5: Solve for x
    x = 1,024,802.68/937.64
  6. Step 6: Final answer
    x = 1,092.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.