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Finding the Fourth Proportional to 1,065.32, 1,596.56 and 789.18

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Solution

The fourth proportional to 1,065.32, 1,596.56 and 789.18 is: 1,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.32 : 1,596.56 = 789.18 : x
  2. Step 2: Convert to fraction form
    1,065.32/1,596.56 = 789.18/x
  3. Step 3: Cross multiply
    1,065.32x = 1,596.56 × 789.18
  4. Step 4: Simplify right side
    1,065.32x = 1,259,973.22
  5. Step 5: Solve for x
    x = 1,259,973.22/1,065.32
  6. Step 6: Final answer
    x = 1,182.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.