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Finding the Fourth Proportional to 1,084.74, 1,627.11 and 468.42

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Solution

The fourth proportional to 1,084.74, 1,627.11 and 468.42 is: 702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.74 : 1,627.11 = 468.42 : x
  2. Step 2: Convert to fraction form
    1,084.74/1,627.11 = 468.42/x
  3. Step 3: Cross multiply
    1,084.74x = 1,627.11 × 468.42
  4. Step 4: Simplify right side
    1,084.74x = 762,170.87
  5. Step 5: Solve for x
    x = 762,170.87/1,084.74
  6. Step 6: Final answer
    x = 702.63

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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.