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Finding the Fourth Proportional to 1,188.70, 1,781.77 and 495.18

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Solution

The fourth proportional to 1,188.70, 1,781.77 and 495.18 is: 742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.70 : 1,781.77 = 495.18 : x
  2. Step 2: Convert to fraction form
    1,188.70/1,781.77 = 495.18/x
  3. Step 3: Cross multiply
    1,188.70x = 1,781.77 × 495.18
  4. Step 4: Simplify right side
    1,188.70x = 882,304.17
  5. Step 5: Solve for x
    x = 882,304.17/1,188.70
  6. Step 6: Final answer
    x = 742.24

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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.