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Finding the Fourth Proportional to 1,085.44, 1,626.20 and 913.18

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Solution

The fourth proportional to 1,085.44, 1,626.20 and 913.18 is: 1,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.44 : 1,626.20 = 913.18 : x
  2. Step 2: Convert to fraction form
    1,085.44/1,626.20 = 913.18/x
  3. Step 3: Cross multiply
    1,085.44x = 1,626.20 × 913.18
  4. Step 4: Simplify right side
    1,085.44x = 1,485,000.62
  5. Step 5: Solve for x
    x = 1,485,000.62/1,085.44
  6. Step 6: Final answer
    x = 1,368.12

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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.