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Finding the Fourth Proportional to 866.87, 1,196.01 and 512.84

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Solution

The fourth proportional to 866.87, 1,196.01 and 512.84 is: 707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.87 : 1,196.01 = 512.84 : x
  2. Step 2: Convert to fraction form
    866.87/1,196.01 = 512.84/x
  3. Step 3: Cross multiply
    866.87x = 1,196.01 × 512.84
  4. Step 4: Simplify right side
    866.87x = 613,357.71
  5. Step 5: Solve for x
    x = 613,357.71/866.87
  6. Step 6: Final answer
    x = 707.55

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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.