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Finding the Fourth Proportional to 819.18, 1,230.12 and 575.64

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Solution

The fourth proportional to 819.18, 1,230.12 and 575.64 is: 864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.18 : 1,230.12 = 575.64 : x
  2. Step 2: Convert to fraction form
    819.18/1,230.12 = 575.64/x
  3. Step 3: Cross multiply
    819.18x = 1,230.12 × 575.64
  4. Step 4: Simplify right side
    819.18x = 708,106.28
  5. Step 5: Solve for x
    x = 708,106.28/819.18
  6. Step 6: Final answer
    x = 864.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.