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Finding the Fourth Proportional to 676.65, 1,019.69 and 611.70

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Solution

The fourth proportional to 676.65, 1,019.69 and 611.70 is: 921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.65 : 1,019.69 = 611.70 : x
  2. Step 2: Convert to fraction form
    676.65/1,019.69 = 611.70/x
  3. Step 3: Cross multiply
    676.65x = 1,019.69 × 611.70
  4. Step 4: Simplify right side
    676.65x = 623,745.52
  5. Step 5: Solve for x
    x = 623,745.52/676.65
  6. Step 6: Final answer
    x = 921.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.