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Finding the Fourth Proportional to 1,112.75, 1,669.17 and 382.40

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Solution

The fourth proportional to 1,112.75, 1,669.17 and 382.40 is: 573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.75 : 1,669.17 = 382.40 : x
  2. Step 2: Convert to fraction form
    1,112.75/1,669.17 = 382.40/x
  3. Step 3: Cross multiply
    1,112.75x = 1,669.17 × 382.40
  4. Step 4: Simplify right side
    1,112.75x = 638,290.61
  5. Step 5: Solve for x
    x = 638,290.61/1,112.75
  6. Step 6: Final answer
    x = 573.62

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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.