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Finding the Fourth Proportional to 819.17, 1,130.46 and 487.59

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Solution

The fourth proportional to 819.17, 1,130.46 and 487.59 is: 672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.17 : 1,130.46 = 487.59 : x
  2. Step 2: Convert to fraction form
    819.17/1,130.46 = 487.59/x
  3. Step 3: Cross multiply
    819.17x = 1,130.46 × 487.59
  4. Step 4: Simplify right side
    819.17x = 551,200.99
  5. Step 5: Solve for x
    x = 551,200.99/819.17
  6. Step 6: Final answer
    x = 672.88

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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.