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Finding the Fourth Proportional to 674.22, 929.61 and 580.80

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Solution

The fourth proportional to 674.22, 929.61 and 580.80 is: 800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.22 : 929.61 = 580.80 : x
  2. Step 2: Convert to fraction form
    674.22/929.61 = 580.80/x
  3. Step 3: Cross multiply
    674.22x = 929.61 × 580.80
  4. Step 4: Simplify right side
    674.22x = 539,917.49
  5. Step 5: Solve for x
    x = 539,917.49/674.22
  6. Step 6: Final answer
    x = 800.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.