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Finding the Fourth Proportional to 1,467.81, 2,198.36 and 737.60

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Solution

The fourth proportional to 1,467.81, 2,198.36 and 737.60 is: 1,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.81 : 2,198.36 = 737.60 : x
  2. Step 2: Convert to fraction form
    1,467.81/2,198.36 = 737.60/x
  3. Step 3: Cross multiply
    1,467.81x = 2,198.36 × 737.60
  4. Step 4: Simplify right side
    1,467.81x = 1,621,495.66
  5. Step 5: Solve for x
    x = 1,621,495.66/1,467.81
  6. Step 6: Final answer
    x = 1,104.70

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1.5x scale

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.