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Finding the Fourth Proportional to 1,180.71, 1,630.41 and 867.75

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Solution

The fourth proportional to 1,180.71, 1,630.41 and 867.75 is: 1,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.71 : 1,630.41 = 867.75 : x
  2. Step 2: Convert to fraction form
    1,180.71/1,630.41 = 867.75/x
  3. Step 3: Cross multiply
    1,180.71x = 1,630.41 × 867.75
  4. Step 4: Simplify right side
    1,180.71x = 1,414,788.28
  5. Step 5: Solve for x
    x = 1,414,788.28/1,180.71
  6. Step 6: Final answer
    x = 1,198.25

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1.5x scale

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.