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Finding the Fourth Proportional to 819.34, 1,228.58 and 402.69

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Solution

The fourth proportional to 819.34, 1,228.58 and 402.69 is: 603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.34 : 1,228.58 = 402.69 : x
  2. Step 2: Convert to fraction form
    819.34/1,228.58 = 402.69/x
  3. Step 3: Cross multiply
    819.34x = 1,228.58 × 402.69
  4. Step 4: Simplify right side
    819.34x = 494,734.07
  5. Step 5: Solve for x
    x = 494,734.07/819.34
  6. Step 6: Final answer
    x = 603.82

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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.