Home / 1,213.47-1,819.67-596.79

Finding the Fourth Proportional to 1,213.47, 1,819.67 and 596.79

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Solution

The fourth proportional to 1,213.47, 1,819.67 and 596.79 is: 894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.47 : 1,819.67 = 596.79 : x
  2. Step 2: Convert to fraction form
    1,213.47/1,819.67 = 596.79/x
  3. Step 3: Cross multiply
    1,213.47x = 1,819.67 × 596.79
  4. Step 4: Simplify right side
    1,213.47x = 1,085,957.88
  5. Step 5: Solve for x
    x = 1,085,957.88/1,213.47
  6. Step 6: Final answer
    x = 894.92

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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.