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Finding the Fourth Proportional to 1,187.72, 1,778.13 and 896.42

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Solution

The fourth proportional to 1,187.72, 1,778.13 and 896.42 is: 1,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.72 : 1,778.13 = 896.42 : x
  2. Step 2: Convert to fraction form
    1,187.72/1,778.13 = 896.42/x
  3. Step 3: Cross multiply
    1,187.72x = 1,778.13 × 896.42
  4. Step 4: Simplify right side
    1,187.72x = 1,593,951.29
  5. Step 5: Solve for x
    x = 1,593,951.29/1,187.72
  6. Step 6: Final answer
    x = 1,342.03

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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.