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Finding the Fourth Proportional to 666.27, 997.77 and 511.56

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Solution

The fourth proportional to 666.27, 997.77 and 511.56 is: 766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.27 : 997.77 = 511.56 : x
  2. Step 2: Convert to fraction form
    666.27/997.77 = 511.56/x
  3. Step 3: Cross multiply
    666.27x = 997.77 × 511.56
  4. Step 4: Simplify right side
    666.27x = 510,419.22
  5. Step 5: Solve for x
    x = 510,419.22/666.27
  6. Step 6: Final answer
    x = 766.08

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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.