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Finding the Fourth Proportional to 777.71, 1,159.60 and 768.11

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Solution

The fourth proportional to 777.71, 1,159.60 and 768.11 is: 1,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.71 : 1,159.60 = 768.11 : x
  2. Step 2: Convert to fraction form
    777.71/1,159.60 = 768.11/x
  3. Step 3: Cross multiply
    777.71x = 1,159.60 × 768.11
  4. Step 4: Simplify right side
    777.71x = 890,700.36
  5. Step 5: Solve for x
    x = 890,700.36/777.71
  6. Step 6: Final answer
    x = 1,145.29

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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.