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Finding the Fourth Proportional to 1,067.47, 1,601.23 and 364.64

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Solution

The fourth proportional to 1,067.47, 1,601.23 and 364.64 is: 546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.47 : 1,601.23 = 364.64 : x
  2. Step 2: Convert to fraction form
    1,067.47/1,601.23 = 364.64/x
  3. Step 3: Cross multiply
    1,067.47x = 1,601.23 × 364.64
  4. Step 4: Simplify right side
    1,067.47x = 583,875.60
  5. Step 5: Solve for x
    x = 583,875.60/1,067.47
  6. Step 6: Final answer
    x = 546.97

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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.