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Finding the Fourth Proportional to 1,067.42, 1,601.10 and 418.14

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Solution

The fourth proportional to 1,067.42, 1,601.10 and 418.14 is: 627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.42 : 1,601.10 = 418.14 : x
  2. Step 2: Convert to fraction form
    1,067.42/1,601.10 = 418.14/x
  3. Step 3: Cross multiply
    1,067.42x = 1,601.10 × 418.14
  4. Step 4: Simplify right side
    1,067.42x = 669,483.95
  5. Step 5: Solve for x
    x = 669,483.95/1,067.42
  6. Step 6: Final answer
    x = 627.20

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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.