Home / 1,422.30-2,132.64-691.68

Finding the Fourth Proportional to 1,422.30, 2,132.64 and 691.68

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Solution

The fourth proportional to 1,422.30, 2,132.64 and 691.68 is: 1,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.30 : 2,132.64 = 691.68 : x
  2. Step 2: Convert to fraction form
    1,422.30/2,132.64 = 691.68/x
  3. Step 3: Cross multiply
    1,422.30x = 2,132.64 × 691.68
  4. Step 4: Simplify right side
    1,422.30x = 1,475,104.44
  5. Step 5: Solve for x
    x = 1,475,104.44/1,422.30
  6. Step 6: Final answer
    x = 1,037.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.