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Finding the Fourth Proportional to 786.17, 1,178.44 and 265.99

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Solution

The fourth proportional to 786.17, 1,178.44 and 265.99 is: 398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.17 : 1,178.44 = 265.99 : x
  2. Step 2: Convert to fraction form
    786.17/1,178.44 = 265.99/x
  3. Step 3: Cross multiply
    786.17x = 1,178.44 × 265.99
  4. Step 4: Simplify right side
    786.17x = 313,453.26
  5. Step 5: Solve for x
    x = 313,453.26/786.17
  6. Step 6: Final answer
    x = 398.71

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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.