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Finding the Fourth Proportional to 819.65, 1,228.94 and 541.68

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Solution

The fourth proportional to 819.65, 1,228.94 and 541.68 is: 812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.65 : 1,228.94 = 541.68 : x
  2. Step 2: Convert to fraction form
    819.65/1,228.94 = 541.68/x
  3. Step 3: Cross multiply
    819.65x = 1,228.94 × 541.68
  4. Step 4: Simplify right side
    819.65x = 665,692.22
  5. Step 5: Solve for x
    x = 665,692.22/819.65
  6. Step 6: Final answer
    x = 812.17

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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.