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Finding the Fourth Proportional to 819.87, 1,230.52 and 424.82

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Solution

The fourth proportional to 819.87, 1,230.52 and 424.82 is: 637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.87 : 1,230.52 = 424.82 : x
  2. Step 2: Convert to fraction form
    819.87/1,230.52 = 424.82/x
  3. Step 3: Cross multiply
    819.87x = 1,230.52 × 424.82
  4. Step 4: Simplify right side
    819.87x = 522,749.51
  5. Step 5: Solve for x
    x = 522,749.51/819.87
  6. Step 6: Final answer
    x = 637.60

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