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Finding the Fourth Proportional to 866.54, 1,196.00 and 512.33

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Solution

The fourth proportional to 866.54, 1,196.00 and 512.33 is: 707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.54 : 1,196.00 = 512.33 : x
  2. Step 2: Convert to fraction form
    866.54/1,196.00 = 512.33/x
  3. Step 3: Cross multiply
    866.54x = 1,196.00 × 512.33
  4. Step 4: Simplify right side
    866.54x = 612,738.14
  5. Step 5: Solve for x
    x = 612,738.14/866.54
  6. Step 6: Final answer
    x = 707.11

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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.