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Finding the Fourth Proportional to 676.87, 934.20 and 646.09

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Solution

The fourth proportional to 676.87, 934.20 and 646.09 is: 891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.87 : 934.20 = 646.09 : x
  2. Step 2: Convert to fraction form
    676.87/934.20 = 646.09/x
  3. Step 3: Cross multiply
    676.87x = 934.20 × 646.09
  4. Step 4: Simplify right side
    676.87x = 603,577.28
  5. Step 5: Solve for x
    x = 603,577.28/676.87
  6. Step 6: Final answer
    x = 891.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.