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Finding the Fourth Proportional to 1,135.25, 1,704.09 and 559.34

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Solution

The fourth proportional to 1,135.25, 1,704.09 and 559.34 is: 839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.25 : 1,704.09 = 559.34 : x
  2. Step 2: Convert to fraction form
    1,135.25/1,704.09 = 559.34/x
  3. Step 3: Cross multiply
    1,135.25x = 1,704.09 × 559.34
  4. Step 4: Simplify right side
    1,135.25x = 953,165.70
  5. Step 5: Solve for x
    x = 953,165.70/1,135.25
  6. Step 6: Final answer
    x = 839.61

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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.