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Finding the Fourth Proportional to 1,067.87, 1,603.19 and 1,024.00

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Solution

The fourth proportional to 1,067.87, 1,603.19 and 1,024.00 is: 1,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.87 : 1,603.19 = 1,024.00 : x
  2. Step 2: Convert to fraction form
    1,067.87/1,603.19 = 1,024.00/x
  3. Step 3: Cross multiply
    1,067.87x = 1,603.19 × 1,024.00
  4. Step 4: Simplify right side
    1,067.87x = 1,641,665.11
  5. Step 5: Solve for x
    x = 1,641,665.11/1,067.87
  6. Step 6: Final answer
    x = 1,537.32

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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.