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Finding the Fourth Proportional to 786.55, 1,179.76 and 266.56

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Solution

The fourth proportional to 786.55, 1,179.76 and 266.56 is: 399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.55 : 1,179.76 = 266.56 : x
  2. Step 2: Convert to fraction form
    786.55/1,179.76 = 266.56/x
  3. Step 3: Cross multiply
    786.55x = 1,179.76 × 266.56
  4. Step 4: Simplify right side
    786.55x = 314,476.83
  5. Step 5: Solve for x
    x = 314,476.83/786.55
  6. Step 6: Final answer
    x = 399.82

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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.