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Finding the Fourth Proportional to 1,489.13, 2,231.67 and 564.19

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Solution

The fourth proportional to 1,489.13, 2,231.67 and 564.19 is: 845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.13 : 2,231.67 = 564.19 : x
  2. Step 2: Convert to fraction form
    1,489.13/2,231.67 = 564.19/x
  3. Step 3: Cross multiply
    1,489.13x = 2,231.67 × 564.19
  4. Step 4: Simplify right side
    1,489.13x = 1,259,085.90
  5. Step 5: Solve for x
    x = 1,259,085.90/1,489.13
  6. Step 6: Final answer
    x = 845.52

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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.