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Finding the Fourth Proportional to 1,084.97, 1,627.66 and 354.59

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Solution

The fourth proportional to 1,084.97, 1,627.66 and 354.59 is: 531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.97 : 1,627.66 = 354.59 : x
  2. Step 2: Convert to fraction form
    1,084.97/1,627.66 = 354.59/x
  3. Step 3: Cross multiply
    1,084.97x = 1,627.66 × 354.59
  4. Step 4: Simplify right side
    1,084.97x = 577,150.37
  5. Step 5: Solve for x
    x = 577,150.37/1,084.97
  6. Step 6: Final answer
    x = 531.95

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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.