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Finding the Fourth Proportional to 866.51, 1,196.11 and 587.37

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Solution

The fourth proportional to 866.51, 1,196.11 and 587.37 is: 810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.51 : 1,196.11 = 587.37 : x
  2. Step 2: Convert to fraction form
    866.51/1,196.11 = 587.37/x
  3. Step 3: Cross multiply
    866.51x = 1,196.11 × 587.37
  4. Step 4: Simplify right side
    866.51x = 702,559.13
  5. Step 5: Solve for x
    x = 702,559.13/866.51
  6. Step 6: Final answer
    x = 810.79

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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.