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Finding the Fourth Proportional to 756.84, 1,135.12 and 208.99

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Solution

The fourth proportional to 756.84, 1,135.12 and 208.99 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.84 : 1,135.12 = 208.99 : x
  2. Step 2: Convert to fraction form
    756.84/1,135.12 = 208.99/x
  3. Step 3: Cross multiply
    756.84x = 1,135.12 × 208.99
  4. Step 4: Simplify right side
    756.84x = 237,227.41
  5. Step 5: Solve for x
    x = 237,227.41/756.84
  6. Step 6: Final answer
    x = 313.44

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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.