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Finding the Fourth Proportional to 1,188.38, 1,781.81 and 495.53

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Solution

The fourth proportional to 1,188.38, 1,781.81 and 495.53 is: 742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.38 : 1,781.81 = 495.53 : x
  2. Step 2: Convert to fraction form
    1,188.38/1,781.81 = 495.53/x
  3. Step 3: Cross multiply
    1,188.38x = 1,781.81 × 495.53
  4. Step 4: Simplify right side
    1,188.38x = 882,928.92
  5. Step 5: Solve for x
    x = 882,928.92/1,188.38
  6. Step 6: Final answer
    x = 742.97

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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.