Home / 1,162.39-1,743.54-296.70

Finding the Fourth Proportional to 1,162.39, 1,743.54 and 296.70

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Solution

The fourth proportional to 1,162.39, 1,743.54 and 296.70 is: 445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.39 : 1,743.54 = 296.70 : x
  2. Step 2: Convert to fraction form
    1,162.39/1,743.54 = 296.70/x
  3. Step 3: Cross multiply
    1,162.39x = 1,743.54 × 296.70
  4. Step 4: Simplify right side
    1,162.39x = 517,308.32
  5. Step 5: Solve for x
    x = 517,308.32/1,162.39
  6. Step 6: Final answer
    x = 445.04

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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.