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Finding the Fourth Proportional to 850.79, 1,174.64 and 556.56

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Solution

The fourth proportional to 850.79, 1,174.64 and 556.56 is: 768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.79 : 1,174.64 = 556.56 : x
  2. Step 2: Convert to fraction form
    850.79/1,174.64 = 556.56/x
  3. Step 3: Cross multiply
    850.79x = 1,174.64 × 556.56
  4. Step 4: Simplify right side
    850.79x = 653,754.86
  5. Step 5: Solve for x
    x = 653,754.86/850.79
  6. Step 6: Final answer
    x = 768.41

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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.