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Finding the Fourth Proportional to 937.79, 1,294.14 and 518.18

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Solution

The fourth proportional to 937.79, 1,294.14 and 518.18 is: 715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.79 : 1,294.14 = 518.18 : x
  2. Step 2: Convert to fraction form
    937.79/1,294.14 = 518.18/x
  3. Step 3: Cross multiply
    937.79x = 1,294.14 × 518.18
  4. Step 4: Simplify right side
    937.79x = 670,595.85
  5. Step 5: Solve for x
    x = 670,595.85/937.79
  6. Step 6: Final answer
    x = 715.08

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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.