Home / 1,162.52-1,742.78-431.96

Finding the Fourth Proportional to 1,162.52, 1,742.78 and 431.96

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Solution

The fourth proportional to 1,162.52, 1,742.78 and 431.96 is: 647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.52 : 1,742.78 = 431.96 : x
  2. Step 2: Convert to fraction form
    1,162.52/1,742.78 = 431.96/x
  3. Step 3: Cross multiply
    1,162.52x = 1,742.78 × 431.96
  4. Step 4: Simplify right side
    1,162.52x = 752,811.25
  5. Step 5: Solve for x
    x = 752,811.25/1,162.52
  6. Step 6: Final answer
    x = 647.57

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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.