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Finding the Fourth Proportional to 819.41, 1,129.83 and 653.49

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Solution

The fourth proportional to 819.41, 1,129.83 and 653.49 is: 901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.41 : 1,129.83 = 653.49 : x
  2. Step 2: Convert to fraction form
    819.41/1,129.83 = 653.49/x
  3. Step 3: Cross multiply
    819.41x = 1,129.83 × 653.49
  4. Step 4: Simplify right side
    819.41x = 738,332.61
  5. Step 5: Solve for x
    x = 738,332.61/819.41
  6. Step 6: Final answer
    x = 901.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.