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Finding the Fourth Proportional to 841.96, 1,263.21 and 409.42

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Solution

The fourth proportional to 841.96, 1,263.21 and 409.42 is: 614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.96 : 1,263.21 = 409.42 : x
  2. Step 2: Convert to fraction form
    841.96/1,263.21 = 409.42/x
  3. Step 3: Cross multiply
    841.96x = 1,263.21 × 409.42
  4. Step 4: Simplify right side
    841.96x = 517,183.44
  5. Step 5: Solve for x
    x = 517,183.44/841.96
  6. Step 6: Final answer
    x = 614.26

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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.