Home / 1,162.06-1,742.24-431.64

Finding the Fourth Proportional to 1,162.06, 1,742.24 and 431.64

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Solution

The fourth proportional to 1,162.06, 1,742.24 and 431.64 is: 647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.06 : 1,742.24 = 431.64 : x
  2. Step 2: Convert to fraction form
    1,162.06/1,742.24 = 431.64/x
  3. Step 3: Cross multiply
    1,162.06x = 1,742.24 × 431.64
  4. Step 4: Simplify right side
    1,162.06x = 752,020.47
  5. Step 5: Solve for x
    x = 752,020.47/1,162.06
  6. Step 6: Final answer
    x = 647.14

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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.