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Finding the Fourth Proportional to 676.77, 1,016.78 and 433.77

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Solution

The fourth proportional to 676.77, 1,016.78 and 433.77 is: 651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.77 : 1,016.78 = 433.77 : x
  2. Step 2: Convert to fraction form
    676.77/1,016.78 = 433.77/x
  3. Step 3: Cross multiply
    676.77x = 1,016.78 × 433.77
  4. Step 4: Simplify right side
    676.77x = 441,046.49
  5. Step 5: Solve for x
    x = 441,046.49/676.77
  6. Step 6: Final answer
    x = 651.69

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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.