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Finding the Fourth Proportional to 971.67, 1,340.02 and 723.61

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Solution

The fourth proportional to 971.67, 1,340.02 and 723.61 is: 997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.67 : 1,340.02 = 723.61 : x
  2. Step 2: Convert to fraction form
    971.67/1,340.02 = 723.61/x
  3. Step 3: Cross multiply
    971.67x = 1,340.02 × 723.61
  4. Step 4: Simplify right side
    971.67x = 969,651.87
  5. Step 5: Solve for x
    x = 969,651.87/971.67
  6. Step 6: Final answer
    x = 997.92

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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.