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Finding the Fourth Proportional to 1,465.42, 2,198 and 369.78

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Solution

The fourth proportional to 1,465.42, 2,198 and 369.78 is: 554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.42 : 2,198 = 369.78 : x
  2. Step 2: Convert to fraction form
    1,465.42/2,198 = 369.78/x
  3. Step 3: Cross multiply
    1,465.42x = 2,198 × 369.78
  4. Step 4: Simplify right side
    1,465.42x = 812,776.44
  5. Step 5: Solve for x
    x = 812,776.44/1,465.42
  6. Step 6: Final answer
    x = 554.64

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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.