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Finding the Fourth Proportional to 843.14, 1,263.84 and 409.76

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Solution

The fourth proportional to 843.14, 1,263.84 and 409.76 is: 614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.14 : 1,263.84 = 409.76 : x
  2. Step 2: Convert to fraction form
    843.14/1,263.84 = 409.76/x
  3. Step 3: Cross multiply
    843.14x = 1,263.84 × 409.76
  4. Step 4: Simplify right side
    843.14x = 517,871.08
  5. Step 5: Solve for x
    x = 517,871.08/843.14
  6. Step 6: Final answer
    x = 614.22

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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.