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Finding the Fourth Proportional to 847.25, 1,271.09 and 270.13

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Solution

The fourth proportional to 847.25, 1,271.09 and 270.13 is: 405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.25 : 1,271.09 = 270.13 : x
  2. Step 2: Convert to fraction form
    847.25/1,271.09 = 270.13/x
  3. Step 3: Cross multiply
    847.25x = 1,271.09 × 270.13
  4. Step 4: Simplify right side
    847.25x = 343,359.54
  5. Step 5: Solve for x
    x = 343,359.54/847.25
  6. Step 6: Final answer
    x = 405.26

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Why These Related Problems?

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