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Finding the Fourth Proportional to 819.53, 1,129.38 and 524.29

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Solution

The fourth proportional to 819.53, 1,129.38 and 524.29 is: 722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.53 : 1,129.38 = 524.29 : x
  2. Step 2: Convert to fraction form
    819.53/1,129.38 = 524.29/x
  3. Step 3: Cross multiply
    819.53x = 1,129.38 × 524.29
  4. Step 4: Simplify right side
    819.53x = 592,121.13
  5. Step 5: Solve for x
    x = 592,121.13/819.53
  6. Step 6: Final answer
    x = 722.51

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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.