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Finding the Fourth Proportional to 1,112.67, 1,669.14 and 382.41

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Solution

The fourth proportional to 1,112.67, 1,669.14 and 382.41 is: 573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.67 : 1,669.14 = 382.41 : x
  2. Step 2: Convert to fraction form
    1,112.67/1,669.14 = 382.41/x
  3. Step 3: Cross multiply
    1,112.67x = 1,669.14 × 382.41
  4. Step 4: Simplify right side
    1,112.67x = 638,295.83
  5. Step 5: Solve for x
    x = 638,295.83/1,112.67
  6. Step 6: Final answer
    x = 573.66

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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.