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Finding the Fourth Proportional to 607.60, 827.20 and 602.20

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Solution

The fourth proportional to 607.60, 827.20 and 602.20 is: 819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.60 : 827.20 = 602.20 : x
  2. Step 2: Convert to fraction form
    607.60/827.20 = 602.20/x
  3. Step 3: Cross multiply
    607.60x = 827.20 × 602.20
  4. Step 4: Simplify right side
    607.60x = 498,139.84
  5. Step 5: Solve for x
    x = 498,139.84/607.60
  6. Step 6: Final answer
    x = 819.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.