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Finding the Fourth Proportional to 1,320.72, 1,822.41 and 789.57

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Solution

The fourth proportional to 1,320.72, 1,822.41 and 789.57 is: 1,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.72 : 1,822.41 = 789.57 : x
  2. Step 2: Convert to fraction form
    1,320.72/1,822.41 = 789.57/x
  3. Step 3: Cross multiply
    1,320.72x = 1,822.41 × 789.57
  4. Step 4: Simplify right side
    1,320.72x = 1,438,920.26
  5. Step 5: Solve for x
    x = 1,438,920.26/1,320.72
  6. Step 6: Final answer
    x = 1,089.50

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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.