Home / 1,213.04-1,819.02-432.78

Finding the Fourth Proportional to 1,213.04, 1,819.02 and 432.78

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Solution

The fourth proportional to 1,213.04, 1,819.02 and 432.78 is: 648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.04 : 1,819.02 = 432.78 : x
  2. Step 2: Convert to fraction form
    1,213.04/1,819.02 = 432.78/x
  3. Step 3: Cross multiply
    1,213.04x = 1,819.02 × 432.78
  4. Step 4: Simplify right side
    1,213.04x = 787,235.48
  5. Step 5: Solve for x
    x = 787,235.48/1,213.04
  6. Step 6: Final answer
    x = 648.98

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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.