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Finding the Fourth Proportional to 1,112.11, 1,669.21 and 818.72

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Solution

The fourth proportional to 1,112.11, 1,669.21 and 818.72 is: 1,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.11 : 1,669.21 = 818.72 : x
  2. Step 2: Convert to fraction form
    1,112.11/1,669.21 = 818.72/x
  3. Step 3: Cross multiply
    1,112.11x = 1,669.21 × 818.72
  4. Step 4: Simplify right side
    1,112.11x = 1,366,615.61
  5. Step 5: Solve for x
    x = 1,366,615.61/1,112.11
  6. Step 6: Final answer
    x = 1,228.85

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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.