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Finding the Fourth Proportional to 1,465.45, 2,198.41 and 491.33

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Solution

The fourth proportional to 1,465.45, 2,198.41 and 491.33 is: 737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.45 : 2,198.41 = 491.33 : x
  2. Step 2: Convert to fraction form
    1,465.45/2,198.41 = 491.33/x
  3. Step 3: Cross multiply
    1,465.45x = 2,198.41 × 491.33
  4. Step 4: Simplify right side
    1,465.45x = 1,080,138.06
  5. Step 5: Solve for x
    x = 1,080,138.06/1,465.45
  6. Step 6: Final answer
    x = 737.07

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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.