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Finding the Fourth Proportional to 768.60, 1,147.86 and 646.92

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Solution

The fourth proportional to 768.60, 1,147.86 and 646.92 is: 966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.60 : 1,147.86 = 646.92 : x
  2. Step 2: Convert to fraction form
    768.60/1,147.86 = 646.92/x
  3. Step 3: Cross multiply
    768.60x = 1,147.86 × 646.92
  4. Step 4: Simplify right side
    768.60x = 742,573.59
  5. Step 5: Solve for x
    x = 742,573.59/768.60
  6. Step 6: Final answer
    x = 966.14

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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.