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Finding the Fourth Proportional to 665.67, 991.95 and 646.88

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Solution

The fourth proportional to 665.67, 991.95 and 646.88 is: 963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.67 : 991.95 = 646.88 : x
  2. Step 2: Convert to fraction form
    665.67/991.95 = 646.88/x
  3. Step 3: Cross multiply
    665.67x = 991.95 × 646.88
  4. Step 4: Simplify right side
    665.67x = 641,667.66
  5. Step 5: Solve for x
    x = 641,667.66/665.67
  6. Step 6: Final answer
    x = 963.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.