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Finding the Fourth Proportional to 1,084.11, 1,626.26 and 434.89

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Solution

The fourth proportional to 1,084.11, 1,626.26 and 434.89 is: 652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.11 : 1,626.26 = 434.89 : x
  2. Step 2: Convert to fraction form
    1,084.11/1,626.26 = 434.89/x
  3. Step 3: Cross multiply
    1,084.11x = 1,626.26 × 434.89
  4. Step 4: Simplify right side
    1,084.11x = 707,244.21
  5. Step 5: Solve for x
    x = 707,244.21/1,084.11
  6. Step 6: Final answer
    x = 652.37

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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.