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Finding the Fourth Proportional to 968.86, 1,337.11 and 596.08

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Solution

The fourth proportional to 968.86, 1,337.11 and 596.08 is: 822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.86 : 1,337.11 = 596.08 : x
  2. Step 2: Convert to fraction form
    968.86/1,337.11 = 596.08/x
  3. Step 3: Cross multiply
    968.86x = 1,337.11 × 596.08
  4. Step 4: Simplify right side
    968.86x = 797,024.53
  5. Step 5: Solve for x
    x = 797,024.53/968.86
  6. Step 6: Final answer
    x = 822.65

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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.