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Finding the Fourth Proportional to 674.59, 1,010.80 and 609.79

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Solution

The fourth proportional to 674.59, 1,010.80 and 609.79 is: 913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.59 : 1,010.80 = 609.79 : x
  2. Step 2: Convert to fraction form
    674.59/1,010.80 = 609.79/x
  3. Step 3: Cross multiply
    674.59x = 1,010.80 × 609.79
  4. Step 4: Simplify right side
    674.59x = 616,375.73
  5. Step 5: Solve for x
    x = 616,375.73/674.59
  6. Step 6: Final answer
    x = 913.70

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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.