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Finding the Fourth Proportional to 1,067.16, 1,601.46 and 417.95

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Solution

The fourth proportional to 1,067.16, 1,601.46 and 417.95 is: 627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.16 : 1,601.46 = 417.95 : x
  2. Step 2: Convert to fraction form
    1,067.16/1,601.46 = 417.95/x
  3. Step 3: Cross multiply
    1,067.16x = 1,601.46 × 417.95
  4. Step 4: Simplify right side
    1,067.16x = 669,322.20
  5. Step 5: Solve for x
    x = 669,322.20/1,067.16
  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.