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Finding the Fourth Proportional to 676.91, 1,015.37 and 578.77

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Solution

The fourth proportional to 676.91, 1,015.37 and 578.77 is: 868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.91 : 1,015.37 = 578.77 : x
  2. Step 2: Convert to fraction form
    676.91/1,015.37 = 578.77/x
  3. Step 3: Cross multiply
    676.91x = 1,015.37 × 578.77
  4. Step 4: Simplify right side
    676.91x = 587,665.69
  5. Step 5: Solve for x
    x = 587,665.69/676.91
  6. Step 6: Final answer
    x = 868.16

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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.