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Finding the Fourth Proportional to 1,084.25, 1,626.55 and 353.66

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Solution

The fourth proportional to 1,084.25, 1,626.55 and 353.66 is: 530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.25 : 1,626.55 = 353.66 : x
  2. Step 2: Convert to fraction form
    1,084.25/1,626.55 = 353.66/x
  3. Step 3: Cross multiply
    1,084.25x = 1,626.55 × 353.66
  4. Step 4: Simplify right side
    1,084.25x = 575,245.67
  5. Step 5: Solve for x
    x = 575,245.67/1,084.25
  6. Step 6: Final answer
    x = 530.55

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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.