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Finding the Fourth Proportional to 896.90, 1,344.20 and 409.95

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Solution

The fourth proportional to 896.90, 1,344.20 and 409.95 is: 614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.90 : 1,344.20 = 409.95 : x
  2. Step 2: Convert to fraction form
    896.90/1,344.20 = 409.95/x
  3. Step 3: Cross multiply
    896.90x = 1,344.20 × 409.95
  4. Step 4: Simplify right side
    896.90x = 551,052.74
  5. Step 5: Solve for x
    x = 551,052.74/896.90
  6. Step 6: Final answer
    x = 614.40

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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.