Home / 1,057.20-1,585.49-326.76

Finding the Fourth Proportional to 1,057.20, 1,585.49 and 326.76

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Solution

The fourth proportional to 1,057.20, 1,585.49 and 326.76 is: 490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.20 : 1,585.49 = 326.76 : x
  2. Step 2: Convert to fraction form
    1,057.20/1,585.49 = 326.76/x
  3. Step 3: Cross multiply
    1,057.20x = 1,585.49 × 326.76
  4. Step 4: Simplify right side
    1,057.20x = 518,067.13
  5. Step 5: Solve for x
    x = 518,067.13/1,057.20
  6. Step 6: Final answer
    x = 490.04

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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.