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Finding the Fourth Proportional to 1,067.49, 1,603.67 and 1,023.75

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Solution

The fourth proportional to 1,067.49, 1,603.67 and 1,023.75 is: 1,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.49 : 1,603.67 = 1,023.75 : x
  2. Step 2: Convert to fraction form
    1,067.49/1,603.67 = 1,023.75/x
  3. Step 3: Cross multiply
    1,067.49x = 1,603.67 × 1,023.75
  4. Step 4: Simplify right side
    1,067.49x = 1,641,752.04
  5. Step 5: Solve for x
    x = 1,641,752.04/1,067.49
  6. Step 6: Final answer
    x = 1,537.96

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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.