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Finding the Fourth Proportional to 819.28, 1,130.19 and 469.75

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Solution

The fourth proportional to 819.28, 1,130.19 and 469.75 is: 648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.28 : 1,130.19 = 469.75 : x
  2. Step 2: Convert to fraction form
    819.28/1,130.19 = 469.75/x
  3. Step 3: Cross multiply
    819.28x = 1,130.19 × 469.75
  4. Step 4: Simplify right side
    819.28x = 530,906.75
  5. Step 5: Solve for x
    x = 530,906.75/819.28
  6. Step 6: Final answer
    x = 648.02

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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.