Home / 1,023.10-1,534.66-329.92

Finding the Fourth Proportional to 1,023.10, 1,534.66 and 329.92

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Solution

The fourth proportional to 1,023.10, 1,534.66 and 329.92 is: 494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.10 : 1,534.66 = 329.92 : x
  2. Step 2: Convert to fraction form
    1,023.10/1,534.66 = 329.92/x
  3. Step 3: Cross multiply
    1,023.10x = 1,534.66 × 329.92
  4. Step 4: Simplify right side
    1,023.10x = 506,315.03
  5. Step 5: Solve for x
    x = 506,315.03/1,023.10
  6. Step 6: Final answer
    x = 494.88

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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.