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Finding the Fourth Proportional to 756.97, 1,135.47 and 209.16

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Solution

The fourth proportional to 756.97, 1,135.47 and 209.16 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.97 : 1,135.47 = 209.16 : x
  2. Step 2: Convert to fraction form
    756.97/1,135.47 = 209.16/x
  3. Step 3: Cross multiply
    756.97x = 1,135.47 × 209.16
  4. Step 4: Simplify right side
    756.97x = 237,491.32
  5. Step 5: Solve for x
    x = 237,491.32/756.97
  6. Step 6: Final answer
    x = 313.74

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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.