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Finding the Fourth Proportional to 819.26, 1,130.97 and 524.71

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Solution

The fourth proportional to 819.26, 1,130.97 and 524.71 is: 724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.26 : 1,130.97 = 524.71 : x
  2. Step 2: Convert to fraction form
    819.26/1,130.97 = 524.71/x
  3. Step 3: Cross multiply
    819.26x = 1,130.97 × 524.71
  4. Step 4: Simplify right side
    819.26x = 593,428.29
  5. Step 5: Solve for x
    x = 593,428.29/819.26
  6. Step 6: Final answer
    x = 724.34

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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.