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Finding the Fourth Proportional to 1,383.17, 1,908.24 and 885.72

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Solution

The fourth proportional to 1,383.17, 1,908.24 and 885.72 is: 1,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.17 : 1,908.24 = 885.72 : x
  2. Step 2: Convert to fraction form
    1,383.17/1,908.24 = 885.72/x
  3. Step 3: Cross multiply
    1,383.17x = 1,908.24 × 885.72
  4. Step 4: Simplify right side
    1,383.17x = 1,690,166.33
  5. Step 5: Solve for x
    x = 1,690,166.33/1,383.17
  6. Step 6: Final answer
    x = 1,221.96

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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.