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Finding the Fourth Proportional to 674.59, 1,012.36 and 263.84

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Solution

The fourth proportional to 674.59, 1,012.36 and 263.84 is: 395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.59 : 1,012.36 = 263.84 : x
  2. Step 2: Convert to fraction form
    674.59/1,012.36 = 263.84/x
  3. Step 3: Cross multiply
    674.59x = 1,012.36 × 263.84
  4. Step 4: Simplify right side
    674.59x = 267,106.17
  5. Step 5: Solve for x
    x = 267,106.17/674.59
  6. Step 6: Final answer
    x = 395.95

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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.