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Finding the Fourth Proportional to 648.76, 965.14 and 646.60

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Solution

The fourth proportional to 648.76, 965.14 and 646.60 is: 961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.76 : 965.14 = 646.60 : x
  2. Step 2: Convert to fraction form
    648.76/965.14 = 646.60/x
  3. Step 3: Cross multiply
    648.76x = 965.14 × 646.60
  4. Step 4: Simplify right side
    648.76x = 624,059.52
  5. Step 5: Solve for x
    x = 624,059.52/648.76
  6. Step 6: Final answer
    x = 961.93

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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.