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Finding the Fourth Proportional to 676.84, 1,016 and 417.12

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Solution

The fourth proportional to 676.84, 1,016 and 417.12 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.84 : 1,016 = 417.12 : x
  2. Step 2: Convert to fraction form
    676.84/1,016 = 417.12/x
  3. Step 3: Cross multiply
    676.84x = 1,016 × 417.12
  4. Step 4: Simplify right side
    676.84x = 423,793.92
  5. Step 5: Solve for x
    x = 423,793.92/676.84
  6. Step 6: Final answer
    x = 626.14

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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.