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Finding the Fourth Proportional to 1,222.27, 1,686.46 and 724.53

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Solution

The fourth proportional to 1,222.27, 1,686.46 and 724.53 is: 999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.27 : 1,686.46 = 724.53 : x
  2. Step 2: Convert to fraction form
    1,222.27/1,686.46 = 724.53/x
  3. Step 3: Cross multiply
    1,222.27x = 1,686.46 × 724.53
  4. Step 4: Simplify right side
    1,222.27x = 1,221,890.86
  5. Step 5: Solve for x
    x = 1,221,890.86/1,222.27
  6. Step 6: Final answer
    x = 999.69

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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.