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Finding the Fourth Proportional to 1,084.91, 1,627.36 and 263.18

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Solution

The fourth proportional to 1,084.91, 1,627.36 and 263.18 is: 394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.91 : 1,627.36 = 263.18 : x
  2. Step 2: Convert to fraction form
    1,084.91/1,627.36 = 263.18/x
  3. Step 3: Cross multiply
    1,084.91x = 1,627.36 × 263.18
  4. Step 4: Simplify right side
    1,084.91x = 428,288.60
  5. Step 5: Solve for x
    x = 428,288.60/1,084.91
  6. Step 6: Final answer
    x = 394.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.