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Finding the Fourth Proportional to 937.49, 1,294.78 and 730.16

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Solution

The fourth proportional to 937.49, 1,294.78 and 730.16 is: 1,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.49 : 1,294.78 = 730.16 : x
  2. Step 2: Convert to fraction form
    937.49/1,294.78 = 730.16/x
  3. Step 3: Cross multiply
    937.49x = 1,294.78 × 730.16
  4. Step 4: Simplify right side
    937.49x = 945,388.27
  5. Step 5: Solve for x
    x = 945,388.27/937.49
  6. Step 6: Final answer
    x = 1,008.43

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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.