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Finding the Fourth Proportional to 786.17, 1,179.14 and 266.15

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Solution

The fourth proportional to 786.17, 1,179.14 and 266.15 is: 399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.17 : 1,179.14 = 266.15 : x
  2. Step 2: Convert to fraction form
    786.17/1,179.14 = 266.15/x
  3. Step 3: Cross multiply
    786.17x = 1,179.14 × 266.15
  4. Step 4: Simplify right side
    786.17x = 313,829.73
  5. Step 5: Solve for x
    x = 313,829.73/786.17
  6. Step 6: Final answer
    x = 399.19

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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.