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Finding the Fourth Proportional to 866.52, 1,195.64 and 512.44

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Solution

The fourth proportional to 866.52, 1,195.64 and 512.44 is: 707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.52 : 1,195.64 = 512.44 : x
  2. Step 2: Convert to fraction form
    866.52/1,195.64 = 512.44/x
  3. Step 3: Cross multiply
    866.52x = 1,195.64 × 512.44
  4. Step 4: Simplify right side
    866.52x = 612,693.76
  5. Step 5: Solve for x
    x = 612,693.76/866.52
  6. Step 6: Final answer
    x = 707.07

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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.