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Finding the Fourth Proportional to 1,111.66, 1,667.87 and 495.80

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Solution

The fourth proportional to 1,111.66, 1,667.87 and 495.80 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.66 : 1,667.87 = 495.80 : x
  2. Step 2: Convert to fraction form
    1,111.66/1,667.87 = 495.80/x
  3. Step 3: Cross multiply
    1,111.66x = 1,667.87 × 495.80
  4. Step 4: Simplify right side
    1,111.66x = 826,929.95
  5. Step 5: Solve for x
    x = 826,929.95/1,111.66
  6. Step 6: Final answer
    x = 743.87

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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.