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Finding the Fourth Proportional to 1,418.81, 1,957.81 and 789.29

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Solution

The fourth proportional to 1,418.81, 1,957.81 and 789.29 is: 1,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.81 : 1,957.81 = 789.29 : x
  2. Step 2: Convert to fraction form
    1,418.81/1,957.81 = 789.29/x
  3. Step 3: Cross multiply
    1,418.81x = 1,957.81 × 789.29
  4. Step 4: Simplify right side
    1,418.81x = 1,545,279.85
  5. Step 5: Solve for x
    x = 1,545,279.85/1,418.81
  6. Step 6: Final answer
    x = 1,089.14

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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.