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Finding the Fourth Proportional to 1,069.38, 1,596.27 and 991.26

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Solution

The fourth proportional to 1,069.38, 1,596.27 and 991.26 is: 1,479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.38 : 1,596.27 = 991.26 : x
  2. Step 2: Convert to fraction form
    1,069.38/1,596.27 = 991.26/x
  3. Step 3: Cross multiply
    1,069.38x = 1,596.27 × 991.26
  4. Step 4: Simplify right side
    1,069.38x = 1,582,318.60
  5. Step 5: Solve for x
    x = 1,582,318.60/1,069.38
  6. Step 6: Final answer
    x = 1,479.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.