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Finding the Fourth Proportional to 866.36, 1,192.66 and 783.22

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Solution

The fourth proportional to 866.36, 1,192.66 and 783.22 is: 1,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.36 : 1,192.66 = 783.22 : x
  2. Step 2: Convert to fraction form
    866.36/1,192.66 = 783.22/x
  3. Step 3: Cross multiply
    866.36x = 1,192.66 × 783.22
  4. Step 4: Simplify right side
    866.36x = 934,115.17
  5. Step 5: Solve for x
    x = 934,115.17/866.36
  6. Step 6: Final answer
    x = 1,078.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.