Home / 1,057.29-1,586.12-326.85

Finding the Fourth Proportional to 1,057.29, 1,586.12 and 326.85

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Solution

The fourth proportional to 1,057.29, 1,586.12 and 326.85 is: 490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.29 : 1,586.12 = 326.85 : x
  2. Step 2: Convert to fraction form
    1,057.29/1,586.12 = 326.85/x
  3. Step 3: Cross multiply
    1,057.29x = 1,586.12 × 326.85
  4. Step 4: Simplify right side
    1,057.29x = 518,423.32
  5. Step 5: Solve for x
    x = 518,423.32/1,057.29
  6. Step 6: Final answer
    x = 490.33

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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.