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Finding the Fourth Proportional to 866.02, 1,196.67 and 616.91

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Solution

The fourth proportional to 866.02, 1,196.67 and 616.91 is: 852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.02 : 1,196.67 = 616.91 : x
  2. Step 2: Convert to fraction form
    866.02/1,196.67 = 616.91/x
  3. Step 3: Cross multiply
    866.02x = 1,196.67 × 616.91
  4. Step 4: Simplify right side
    866.02x = 738,237.69
  5. Step 5: Solve for x
    x = 738,237.69/866.02
  6. Step 6: Final answer
    x = 852.45

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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.