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Finding the Fourth Proportional to 1,067.06, 1,600.52 and 337.11

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Solution

The fourth proportional to 1,067.06, 1,600.52 and 337.11 is: 505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.06 : 1,600.52 = 337.11 : x
  2. Step 2: Convert to fraction form
    1,067.06/1,600.52 = 337.11/x
  3. Step 3: Cross multiply
    1,067.06x = 1,600.52 × 337.11
  4. Step 4: Simplify right side
    1,067.06x = 539,549.61
  5. Step 5: Solve for x
    x = 539,549.61/1,067.06
  6. Step 6: Final answer
    x = 505.64

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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.