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Finding the Fourth Proportional to 676.68, 1,015.48 and 265.82

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Solution

The fourth proportional to 676.68, 1,015.48 and 265.82 is: 398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.68 : 1,015.48 = 265.82 : x
  2. Step 2: Convert to fraction form
    676.68/1,015.48 = 265.82/x
  3. Step 3: Cross multiply
    676.68x = 1,015.48 × 265.82
  4. Step 4: Simplify right side
    676.68x = 269,934.89
  5. Step 5: Solve for x
    x = 269,934.89/676.68
  6. Step 6: Final answer
    x = 398.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.