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Finding the Fourth Proportional to 1,084.90, 1,627.35 and 263.17

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Solution

The fourth proportional to 1,084.90, 1,627.35 and 263.17 is: 394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.90 : 1,627.35 = 263.17 : x
  2. Step 2: Convert to fraction form
    1,084.90/1,627.35 = 263.17/x
  3. Step 3: Cross multiply
    1,084.90x = 1,627.35 × 263.17
  4. Step 4: Simplify right side
    1,084.90x = 428,269.70
  5. Step 5: Solve for x
    x = 428,269.70/1,084.90
  6. Step 6: Final answer
    x = 394.76

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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.