Home / 1,162.24-1,742.56-431.42

Finding the Fourth Proportional to 1,162.24, 1,742.56 and 431.42

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Solution

The fourth proportional to 1,162.24, 1,742.56 and 431.42 is: 646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.24 : 1,742.56 = 431.42 : x
  2. Step 2: Convert to fraction form
    1,162.24/1,742.56 = 431.42/x
  3. Step 3: Cross multiply
    1,162.24x = 1,742.56 × 431.42
  4. Step 4: Simplify right side
    1,162.24x = 751,775.24
  5. Step 5: Solve for x
    x = 751,775.24/1,162.24
  6. Step 6: Final answer
    x = 646.83

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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.