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Finding the Fourth Proportional to 968.92, 1,337.13 and 596.11

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Solution

The fourth proportional to 968.92, 1,337.13 and 596.11 is: 822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.92 : 1,337.13 = 596.11 : x
  2. Step 2: Convert to fraction form
    968.92/1,337.13 = 596.11/x
  3. Step 3: Cross multiply
    968.92x = 1,337.13 × 596.11
  4. Step 4: Simplify right side
    968.92x = 797,076.56
  5. Step 5: Solve for x
    x = 797,076.56/968.92
  6. Step 6: Final answer
    x = 822.64

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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.