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Finding the Fourth Proportional to 676.77, 1,016.13 and 417.84

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Solution

The fourth proportional to 676.77, 1,016.13 and 417.84 is: 627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.77 : 1,016.13 = 417.84 : x
  2. Step 2: Convert to fraction form
    676.77/1,016.13 = 417.84/x
  3. Step 3: Cross multiply
    676.77x = 1,016.13 × 417.84
  4. Step 4: Simplify right side
    676.77x = 424,579.76
  5. Step 5: Solve for x
    x = 424,579.76/676.77
  6. Step 6: Final answer
    x = 627.36

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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.