Home / 1,162.18-1,743.49-512.92

Finding the Fourth Proportional to 1,162.18, 1,743.49 and 512.92

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Solution

The fourth proportional to 1,162.18, 1,743.49 and 512.92 is: 769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.18 : 1,743.49 = 512.92 : x
  2. Step 2: Convert to fraction form
    1,162.18/1,743.49 = 512.92/x
  3. Step 3: Cross multiply
    1,162.18x = 1,743.49 × 512.92
  4. Step 4: Simplify right side
    1,162.18x = 894,267.17
  5. Step 5: Solve for x
    x = 894,267.17/1,162.18
  6. Step 6: Final answer
    x = 769.48

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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.