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Finding the Fourth Proportional to 1,084.26, 1,626.39 and 262.53

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Solution

The fourth proportional to 1,084.26, 1,626.39 and 262.53 is: 393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.26 : 1,626.39 = 262.53 : x
  2. Step 2: Convert to fraction form
    1,084.26/1,626.39 = 262.53/x
  3. Step 3: Cross multiply
    1,084.26x = 1,626.39 × 262.53
  4. Step 4: Simplify right side
    1,084.26x = 426,966.72
  5. Step 5: Solve for x
    x = 426,966.72/1,084.26
  6. Step 6: Final answer
    x = 393.79

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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.