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Finding the Fourth Proportional to 1,149.77, 1,586.22 and 800.66

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Solution

The fourth proportional to 1,149.77, 1,586.22 and 800.66 is: 1,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.77 : 1,586.22 = 800.66 : x
  2. Step 2: Convert to fraction form
    1,149.77/1,586.22 = 800.66/x
  3. Step 3: Cross multiply
    1,149.77x = 1,586.22 × 800.66
  4. Step 4: Simplify right side
    1,149.77x = 1,270,023.87
  5. Step 5: Solve for x
    x = 1,270,023.87/1,149.77
  6. Step 6: Final answer
    x = 1,104.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.