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Finding the Fourth Proportional to 869.06, 1,306.14 and 723.74

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Solution

The fourth proportional to 869.06, 1,306.14 and 723.74 is: 1,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.06 : 1,306.14 = 723.74 : x
  2. Step 2: Convert to fraction form
    869.06/1,306.14 = 723.74/x
  3. Step 3: Cross multiply
    869.06x = 1,306.14 × 723.74
  4. Step 4: Simplify right side
    869.06x = 945,305.76
  5. Step 5: Solve for x
    x = 945,305.76/869.06
  6. Step 6: Final answer
    x = 1,087.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.