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Finding the Fourth Proportional to 1,451.44, 2,002.67 and 862.16

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Solution

The fourth proportional to 1,451.44, 2,002.67 and 862.16 is: 1,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.44 : 2,002.67 = 862.16 : x
  2. Step 2: Convert to fraction form
    1,451.44/2,002.67 = 862.16/x
  3. Step 3: Cross multiply
    1,451.44x = 2,002.67 × 862.16
  4. Step 4: Simplify right side
    1,451.44x = 1,726,621.97
  5. Step 5: Solve for x
    x = 1,726,621.97/1,451.44
  6. Step 6: Final answer
    x = 1,189.59

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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.