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Finding the Fourth Proportional to 1,442.26, 1,990.20 and 812.89

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Solution

The fourth proportional to 1,442.26, 1,990.20 and 812.89 is: 1,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.26 : 1,990.20 = 812.89 : x
  2. Step 2: Convert to fraction form
    1,442.26/1,990.20 = 812.89/x
  3. Step 3: Cross multiply
    1,442.26x = 1,990.20 × 812.89
  4. Step 4: Simplify right side
    1,442.26x = 1,617,813.68
  5. Step 5: Solve for x
    x = 1,617,813.68/1,442.26
  6. Step 6: Final answer
    x = 1,121.72

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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.