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Finding the Fourth Proportional to 847.84, 1,271.82 and 270.76

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Solution

The fourth proportional to 847.84, 1,271.82 and 270.76 is: 406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.84 : 1,271.82 = 270.76 : x
  2. Step 2: Convert to fraction form
    847.84/1,271.82 = 270.76/x
  3. Step 3: Cross multiply
    847.84x = 1,271.82 × 270.76
  4. Step 4: Simplify right side
    847.84x = 344,357.98
  5. Step 5: Solve for x
    x = 344,357.98/847.84
  6. Step 6: Final answer
    x = 406.16

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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.