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Finding the Fourth Proportional to 1,149.14, 1,585.69 and 850.55

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Solution

The fourth proportional to 1,149.14, 1,585.69 and 850.55 is: 1,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.14 : 1,585.69 = 850.55 : x
  2. Step 2: Convert to fraction form
    1,149.14/1,585.69 = 850.55/x
  3. Step 3: Cross multiply
    1,149.14x = 1,585.69 × 850.55
  4. Step 4: Simplify right side
    1,149.14x = 1,348,698.57
  5. Step 5: Solve for x
    x = 1,348,698.57/1,149.14
  6. Step 6: Final answer
    x = 1,173.66

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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.