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Finding the Fourth Proportional to 1,465.26, 2,198.04 and 491.38

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Solution

The fourth proportional to 1,465.26, 2,198.04 and 491.38 is: 737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.26 : 2,198.04 = 491.38 : x
  2. Step 2: Convert to fraction form
    1,465.26/2,198.04 = 491.38/x
  3. Step 3: Cross multiply
    1,465.26x = 2,198.04 × 491.38
  4. Step 4: Simplify right side
    1,465.26x = 1,080,072.90
  5. Step 5: Solve for x
    x = 1,080,072.90/1,465.26
  6. Step 6: Final answer
    x = 737.12

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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.