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Finding the Fourth Proportional to 1,084.50, 1,626.78 and 354.15

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Solution

The fourth proportional to 1,084.50, 1,626.78 and 354.15 is: 531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.50 : 1,626.78 = 354.15 : x
  2. Step 2: Convert to fraction form
    1,084.50/1,626.78 = 354.15/x
  3. Step 3: Cross multiply
    1,084.50x = 1,626.78 × 354.15
  4. Step 4: Simplify right side
    1,084.50x = 576,124.14
  5. Step 5: Solve for x
    x = 576,124.14/1,084.50
  6. Step 6: Final answer
    x = 531.23

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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.