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Finding the Fourth Proportional to 701.80, 1,052.44 and 409.40

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Solution

The fourth proportional to 701.80, 1,052.44 and 409.40 is: 613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.80 : 1,052.44 = 409.40 : x
  2. Step 2: Convert to fraction form
    701.80/1,052.44 = 409.40/x
  3. Step 3: Cross multiply
    701.80x = 1,052.44 × 409.40
  4. Step 4: Simplify right side
    701.80x = 430,871.57
  5. Step 5: Solve for x
    x = 430,871.57/701.80
  6. Step 6: Final answer
    x = 613.95

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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.