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Finding the Fourth Proportional to 777.81, 1,158.37 and 764.17

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Solution

The fourth proportional to 777.81, 1,158.37 and 764.17 is: 1,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.81 : 1,158.37 = 764.17 : x
  2. Step 2: Convert to fraction form
    777.81/1,158.37 = 764.17/x
  3. Step 3: Cross multiply
    777.81x = 1,158.37 × 764.17
  4. Step 4: Simplify right side
    777.81x = 885,191.60
  5. Step 5: Solve for x
    x = 885,191.60/777.81
  6. Step 6: Final answer
    x = 1,138.06

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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.