Home / 1,162.48-1,742.62-431.56

Finding the Fourth Proportional to 1,162.48, 1,742.62 and 431.56

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Solution

The fourth proportional to 1,162.48, 1,742.62 and 431.56 is: 646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.48 : 1,742.62 = 431.56 : x
  2. Step 2: Convert to fraction form
    1,162.48/1,742.62 = 431.56/x
  3. Step 3: Cross multiply
    1,162.48x = 1,742.62 × 431.56
  4. Step 4: Simplify right side
    1,162.48x = 752,045.09
  5. Step 5: Solve for x
    x = 752,045.09/1,162.48
  6. Step 6: Final answer
    x = 646.93

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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.