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Finding the Fourth Proportional to 1,069.08, 1,603.62 and 825.96

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Solution

The fourth proportional to 1,069.08, 1,603.62 and 825.96 is: 1,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.08 : 1,603.62 = 825.96 : x
  2. Step 2: Convert to fraction form
    1,069.08/1,603.62 = 825.96/x
  3. Step 3: Cross multiply
    1,069.08x = 1,603.62 × 825.96
  4. Step 4: Simplify right side
    1,069.08x = 1,324,525.98
  5. Step 5: Solve for x
    x = 1,324,525.98/1,069.08
  6. Step 6: Final answer
    x = 1,238.94

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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.