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Finding the Fourth Proportional to 1,139.10, 1,709.37 and 728.52

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Solution

The fourth proportional to 1,139.10, 1,709.37 and 728.52 is: 1,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.10 : 1,709.37 = 728.52 : x
  2. Step 2: Convert to fraction form
    1,139.10/1,709.37 = 728.52/x
  3. Step 3: Cross multiply
    1,139.10x = 1,709.37 × 728.52
  4. Step 4: Simplify right side
    1,139.10x = 1,245,310.23
  5. Step 5: Solve for x
    x = 1,245,310.23/1,139.10
  6. Step 6: Final answer
    x = 1,093.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.