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Finding the Fourth Proportional to 942.67, 1,411.47 and 768.62

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Solution

The fourth proportional to 942.67, 1,411.47 and 768.62 is: 1,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.67 : 1,411.47 = 768.62 : x
  2. Step 2: Convert to fraction form
    942.67/1,411.47 = 768.62/x
  3. Step 3: Cross multiply
    942.67x = 1,411.47 × 768.62
  4. Step 4: Simplify right side
    942.67x = 1,084,884.07
  5. Step 5: Solve for x
    x = 1,084,884.07/942.67
  6. Step 6: Final answer
    x = 1,150.86

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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.