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Finding the Fourth Proportional to 1,188.57, 1,781.23 and 668.82

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Solution

The fourth proportional to 1,188.57, 1,781.23 and 668.82 is: 1,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.57 : 1,781.23 = 668.82 : x
  2. Step 2: Convert to fraction form
    1,188.57/1,781.23 = 668.82/x
  3. Step 3: Cross multiply
    1,188.57x = 1,781.23 × 668.82
  4. Step 4: Simplify right side
    1,188.57x = 1,191,322.25
  5. Step 5: Solve for x
    x = 1,191,322.25/1,188.57
  6. Step 6: Final answer
    x = 1,002.32

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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.