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Finding the Fourth Proportional to 1,112.85, 1,669.56 and 382.43

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Solution

The fourth proportional to 1,112.85, 1,669.56 and 382.43 is: 573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.85 : 1,669.56 = 382.43 : x
  2. Step 2: Convert to fraction form
    1,112.85/1,669.56 = 382.43/x
  3. Step 3: Cross multiply
    1,112.85x = 1,669.56 × 382.43
  4. Step 4: Simplify right side
    1,112.85x = 638,481.48
  5. Step 5: Solve for x
    x = 638,481.48/1,112.85
  6. Step 6: Final answer
    x = 573.74

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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.