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Finding the Fourth Proportional to 1,226.14, 1,691.13 and 885.33

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Solution

The fourth proportional to 1,226.14, 1,691.13 and 885.33 is: 1,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.14 : 1,691.13 = 885.33 : x
  2. Step 2: Convert to fraction form
    1,226.14/1,691.13 = 885.33/x
  3. Step 3: Cross multiply
    1,226.14x = 1,691.13 × 885.33
  4. Step 4: Simplify right side
    1,226.14x = 1,497,206.46
  5. Step 5: Solve for x
    x = 1,497,206.46/1,226.14
  6. Step 6: Final answer
    x = 1,221.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.