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Finding the Fourth Proportional to 1,200.74, 1,656.91 and 886.17

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Solution

The fourth proportional to 1,200.74, 1,656.91 and 886.17 is: 1,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.74 : 1,656.91 = 886.17 : x
  2. Step 2: Convert to fraction form
    1,200.74/1,656.91 = 886.17/x
  3. Step 3: Cross multiply
    1,200.74x = 1,656.91 × 886.17
  4. Step 4: Simplify right side
    1,200.74x = 1,468,306.27
  5. Step 5: Solve for x
    x = 1,468,306.27/1,200.74
  6. Step 6: Final answer
    x = 1,222.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.