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Finding the Fourth Proportional to 1,188.14, 1,781.44 and 495.29

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Solution

The fourth proportional to 1,188.14, 1,781.44 and 495.29 is: 742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.14 : 1,781.44 = 495.29 : x
  2. Step 2: Convert to fraction form
    1,188.14/1,781.44 = 495.29/x
  3. Step 3: Cross multiply
    1,188.14x = 1,781.44 × 495.29
  4. Step 4: Simplify right side
    1,188.14x = 882,329.42
  5. Step 5: Solve for x
    x = 882,329.42/1,188.14
  6. Step 6: Final answer
    x = 742.61

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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.