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Finding the Fourth Proportional to 1,186.54, 1,777.41 and 568.37

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Solution

The fourth proportional to 1,186.54, 1,777.41 and 568.37 is: 851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.54 : 1,777.41 = 568.37 : x
  2. Step 2: Convert to fraction form
    1,186.54/1,777.41 = 568.37/x
  3. Step 3: Cross multiply
    1,186.54x = 1,777.41 × 568.37
  4. Step 4: Simplify right side
    1,186.54x = 1,010,230.97
  5. Step 5: Solve for x
    x = 1,010,230.97/1,186.54
  6. Step 6: Final answer
    x = 851.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.