Home / 1,054.11-1,581.17-323.68

Finding the Fourth Proportional to 1,054.11, 1,581.17 and 323.68

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Solution

The fourth proportional to 1,054.11, 1,581.17 and 323.68 is: 485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.11 : 1,581.17 = 323.68 : x
  2. Step 2: Convert to fraction form
    1,054.11/1,581.17 = 323.68/x
  3. Step 3: Cross multiply
    1,054.11x = 1,581.17 × 323.68
  4. Step 4: Simplify right side
    1,054.11x = 511,792.32
  5. Step 5: Solve for x
    x = 511,792.32/1,054.11
  6. Step 6: Final answer
    x = 485.52

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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.