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Finding the Fourth Proportional to 1,069, 1,601.68 and 759.32

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Solution

The fourth proportional to 1,069, 1,601.68 and 759.32 is: 1,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069 : 1,601.68 = 759.32 : x
  2. Step 2: Convert to fraction form
    1,069/1,601.68 = 759.32/x
  3. Step 3: Cross multiply
    1,069x = 1,601.68 × 759.32
  4. Step 4: Simplify right side
    1,069x = 1,216,187.66
  5. Step 5: Solve for x
    x = 1,216,187.66/1,069
  6. Step 6: Final answer
    x = 1,137.69

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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.