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Finding the Fourth Proportional to 937.23, 1,293.90 and 658.32

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Solution

The fourth proportional to 937.23, 1,293.90 and 658.32 is: 908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.23 : 1,293.90 = 658.32 : x
  2. Step 2: Convert to fraction form
    937.23/1,293.90 = 658.32/x
  3. Step 3: Cross multiply
    937.23x = 1,293.90 × 658.32
  4. Step 4: Simplify right side
    937.23x = 851,800.25
  5. Step 5: Solve for x
    x = 851,800.25/937.23
  6. Step 6: Final answer
    x = 908.85

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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.