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Finding the Fourth Proportional to 656.48, 982.76 and 640.75

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Solution

The fourth proportional to 656.48, 982.76 and 640.75 is: 959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.48 : 982.76 = 640.75 : x
  2. Step 2: Convert to fraction form
    656.48/982.76 = 640.75/x
  3. Step 3: Cross multiply
    656.48x = 982.76 × 640.75
  4. Step 4: Simplify right side
    656.48x = 629,703.47
  5. Step 5: Solve for x
    x = 629,703.47/656.48
  6. Step 6: Final answer
    x = 959.21

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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.