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Finding the Fourth Proportional to 676.78, 1,016.57 and 416.91

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Solution

The fourth proportional to 676.78, 1,016.57 and 416.91 is: 626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.78 : 1,016.57 = 416.91 : x
  2. Step 2: Convert to fraction form
    676.78/1,016.57 = 416.91/x
  3. Step 3: Cross multiply
    676.78x = 1,016.57 × 416.91
  4. Step 4: Simplify right side
    676.78x = 423,818.20
  5. Step 5: Solve for x
    x = 423,818.20/676.78
  6. Step 6: Final answer
    x = 626.23

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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.