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Finding the Fourth Proportional to 675.95, 1,013.09 and 264.83

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Solution

The fourth proportional to 675.95, 1,013.09 and 264.83 is: 396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.95 : 1,013.09 = 264.83 : x
  2. Step 2: Convert to fraction form
    675.95/1,013.09 = 264.83/x
  3. Step 3: Cross multiply
    675.95x = 1,013.09 × 264.83
  4. Step 4: Simplify right side
    675.95x = 268,290.24
  5. Step 5: Solve for x
    x = 268,290.24/675.95
  6. Step 6: Final answer
    x = 396.91

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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.