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Finding the Fourth Proportional to 819.75, 1,228.82 and 526.43

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Solution

The fourth proportional to 819.75, 1,228.82 and 526.43 is: 789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.75 : 1,228.82 = 526.43 : x
  2. Step 2: Convert to fraction form
    819.75/1,228.82 = 526.43/x
  3. Step 3: Cross multiply
    819.75x = 1,228.82 × 526.43
  4. Step 4: Simplify right side
    819.75x = 646,881.57
  5. Step 5: Solve for x
    x = 646,881.57/819.75
  6. Step 6: Final answer
    x = 789.12

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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.