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Finding the Fourth Proportional to 866.33, 1,194.71 and 571.08

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Solution

The fourth proportional to 866.33, 1,194.71 and 571.08 is: 787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.33 : 1,194.71 = 571.08 : x
  2. Step 2: Convert to fraction form
    866.33/1,194.71 = 571.08/x
  3. Step 3: Cross multiply
    866.33x = 1,194.71 × 571.08
  4. Step 4: Simplify right side
    866.33x = 682,272.13
  5. Step 5: Solve for x
    x = 682,272.13/866.33
  6. Step 6: Final answer
    x = 787.55

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Why These Related Problems?

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