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Finding the Fourth Proportional to 737.75, 1,106.48 and 409.01

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Solution

The fourth proportional to 737.75, 1,106.48 and 409.01 is: 613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.75 : 1,106.48 = 409.01 : x
  2. Step 2: Convert to fraction form
    737.75/1,106.48 = 409.01/x
  3. Step 3: Cross multiply
    737.75x = 1,106.48 × 409.01
  4. Step 4: Simplify right side
    737.75x = 452,562.11
  5. Step 5: Solve for x
    x = 452,562.11/737.75
  6. Step 6: Final answer
    x = 613.43

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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.