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Finding the Fourth Proportional to 968.81, 1,337.64 and 595.90

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Solution

The fourth proportional to 968.81, 1,337.64 and 595.90 is: 822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.81 : 1,337.64 = 595.90 : x
  2. Step 2: Convert to fraction form
    968.81/1,337.64 = 595.90/x
  3. Step 3: Cross multiply
    968.81x = 1,337.64 × 595.90
  4. Step 4: Simplify right side
    968.81x = 797,096.33
  5. Step 5: Solve for x
    x = 797,096.33/968.81
  6. Step 6: Final answer
    x = 822.76

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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.