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Finding the Fourth Proportional to 846.75, 1,270.15 and 269.63

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Solution

The fourth proportional to 846.75, 1,270.15 and 269.63 is: 404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.75 : 1,270.15 = 269.63 : x
  2. Step 2: Convert to fraction form
    846.75/1,270.15 = 269.63/x
  3. Step 3: Cross multiply
    846.75x = 1,270.15 × 269.63
  4. Step 4: Simplify right side
    846.75x = 342,463.52
  5. Step 5: Solve for x
    x = 342,463.52/846.75
  6. Step 6: Final answer
    x = 404.44

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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.