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Finding the Fourth Proportional to 666.36, 997.56 and 649.80

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Solution

The fourth proportional to 666.36, 997.56 and 649.80 is: 972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.36 : 997.56 = 649.80 : x
  2. Step 2: Convert to fraction form
    666.36/997.56 = 649.80/x
  3. Step 3: Cross multiply
    666.36x = 997.56 × 649.80
  4. Step 4: Simplify right side
    666.36x = 648,214.49
  5. Step 5: Solve for x
    x = 648,214.49/666.36
  6. Step 6: Final answer
    x = 972.77

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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.