Home / 1,055.12-1,582.97-324.71

Finding the Fourth Proportional to 1,055.12, 1,582.97 and 324.71

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Solution

The fourth proportional to 1,055.12, 1,582.97 and 324.71 is: 487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.12 : 1,582.97 = 324.71 : x
  2. Step 2: Convert to fraction form
    1,055.12/1,582.97 = 324.71/x
  3. Step 3: Cross multiply
    1,055.12x = 1,582.97 × 324.71
  4. Step 4: Simplify right side
    1,055.12x = 513,996.65
  5. Step 5: Solve for x
    x = 513,996.65/1,055.12
  6. Step 6: Final answer
    x = 487.15

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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.