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Finding the Fourth Proportional to 1,187.57, 1,782.27 and 667.71

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Solution

The fourth proportional to 1,187.57, 1,782.27 and 667.71 is: 1,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.57 : 1,782.27 = 667.71 : x
  2. Step 2: Convert to fraction form
    1,187.57/1,782.27 = 667.71/x
  3. Step 3: Cross multiply
    1,187.57x = 1,782.27 × 667.71
  4. Step 4: Simplify right side
    1,187.57x = 1,190,039.50
  5. Step 5: Solve for x
    x = 1,190,039.50/1,187.57
  6. Step 6: Final answer
    x = 1,002.08

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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.