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Finding the Fourth Proportional to 757.09, 1,135.59 and 209.35

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Solution

The fourth proportional to 757.09, 1,135.59 and 209.35 is: 314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.09 : 1,135.59 = 209.35 : x
  2. Step 2: Convert to fraction form
    757.09/1,135.59 = 209.35/x
  3. Step 3: Cross multiply
    757.09x = 1,135.59 × 209.35
  4. Step 4: Simplify right side
    757.09x = 237,735.77
  5. Step 5: Solve for x
    x = 237,735.77/757.09
  6. Step 6: Final answer
    x = 314.01

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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.