Home / 1,150.72-1,586.38-819.04

Finding the Fourth Proportional to 1,150.72, 1,586.38 and 819.04

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Solution

The fourth proportional to 1,150.72, 1,586.38 and 819.04 is: 1,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.72 : 1,586.38 = 819.04 : x
  2. Step 2: Convert to fraction form
    1,150.72/1,586.38 = 819.04/x
  3. Step 3: Cross multiply
    1,150.72x = 1,586.38 × 819.04
  4. Step 4: Simplify right side
    1,150.72x = 1,299,308.68
  5. Step 5: Solve for x
    x = 1,299,308.68/1,150.72
  6. Step 6: Final answer
    x = 1,129.13

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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.