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Finding the Fourth Proportional to 937.87, 1,294.25 and 518.22

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Solution

The fourth proportional to 937.87, 1,294.25 and 518.22 is: 715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.87 : 1,294.25 = 518.22 : x
  2. Step 2: Convert to fraction form
    937.87/1,294.25 = 518.22/x
  3. Step 3: Cross multiply
    937.87x = 1,294.25 × 518.22
  4. Step 4: Simplify right side
    937.87x = 670,706.24
  5. Step 5: Solve for x
    x = 670,706.24/937.87
  6. Step 6: Final answer
    x = 715.14

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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.