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Finding the Fourth Proportional to 968.56, 1,337.31 and 596.04

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Solution

The fourth proportional to 968.56, 1,337.31 and 596.04 is: 822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.56 : 1,337.31 = 596.04 : x
  2. Step 2: Convert to fraction form
    968.56/1,337.31 = 596.04/x
  3. Step 3: Cross multiply
    968.56x = 1,337.31 × 596.04
  4. Step 4: Simplify right side
    968.56x = 797,090.25
  5. Step 5: Solve for x
    x = 797,090.25/968.56
  6. Step 6: Final answer
    x = 822.96

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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.