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Finding the Fourth Proportional to 1,418.72, 1,957.77 and 789.23

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Solution

The fourth proportional to 1,418.72, 1,957.77 and 789.23 is: 1,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.72 : 1,957.77 = 789.23 : x
  2. Step 2: Convert to fraction form
    1,418.72/1,957.77 = 789.23/x
  3. Step 3: Cross multiply
    1,418.72x = 1,957.77 × 789.23
  4. Step 4: Simplify right side
    1,418.72x = 1,545,135.71
  5. Step 5: Solve for x
    x = 1,545,135.71/1,418.72
  6. Step 6: Final answer
    x = 1,089.11

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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.