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Finding the Fourth Proportional to 1,112.90, 1,667.75 and 818.09

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Solution

The fourth proportional to 1,112.90, 1,667.75 and 818.09 is: 1,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.90 : 1,667.75 = 818.09 : x
  2. Step 2: Convert to fraction form
    1,112.90/1,667.75 = 818.09/x
  3. Step 3: Cross multiply
    1,112.90x = 1,667.75 × 818.09
  4. Step 4: Simplify right side
    1,112.90x = 1,364,357.17
  5. Step 5: Solve for x
    x = 1,364,357.17/1,112.90
  6. Step 6: Final answer
    x = 1,225.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.