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Finding the Fourth Proportional to 1,069, 1,475.22 and 759.04

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Solution

The fourth proportional to 1,069, 1,475.22 and 759.04 is: 1,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069 : 1,475.22 = 759.04 : x
  2. Step 2: Convert to fraction form
    1,069/1,475.22 = 759.04/x
  3. Step 3: Cross multiply
    1,069x = 1,475.22 × 759.04
  4. Step 4: Simplify right side
    1,069x = 1,119,750.99
  5. Step 5: Solve for x
    x = 1,119,750.99/1,069
  6. Step 6: Final answer
    x = 1,047.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.