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Finding the Fourth Proportional to 661.26, 991.90 and 588.48

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Solution

The fourth proportional to 661.26, 991.90 and 588.48 is: 882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.26 : 991.90 = 588.48 : x
  2. Step 2: Convert to fraction form
    661.26/991.90 = 588.48/x
  3. Step 3: Cross multiply
    661.26x = 991.90 × 588.48
  4. Step 4: Simplify right side
    661.26x = 583,708.41
  5. Step 5: Solve for x
    x = 583,708.41/661.26
  6. Step 6: Final answer
    x = 882.72

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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.