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Finding the Fourth Proportional to 757.19, 1,135.65 and 209.22

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Solution

The fourth proportional to 757.19, 1,135.65 and 209.22 is: 313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.19 : 1,135.65 = 209.22 : x
  2. Step 2: Convert to fraction form
    757.19/1,135.65 = 209.22/x
  3. Step 3: Cross multiply
    757.19x = 1,135.65 × 209.22
  4. Step 4: Simplify right side
    757.19x = 237,600.69
  5. Step 5: Solve for x
    x = 237,600.69/757.19
  6. Step 6: Final answer
    x = 313.79

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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.