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Finding the Fourth Proportional to 676.03, 1,013.51 and 265.09

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Solution

The fourth proportional to 676.03, 1,013.51 and 265.09 is: 397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.03 : 1,013.51 = 265.09 : x
  2. Step 2: Convert to fraction form
    676.03/1,013.51 = 265.09/x
  3. Step 3: Cross multiply
    676.03x = 1,013.51 × 265.09
  4. Step 4: Simplify right side
    676.03x = 268,670.04
  5. Step 5: Solve for x
    x = 268,670.04/676.03
  6. Step 6: Final answer
    x = 397.42

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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.