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Finding the Fourth Proportional to 851.41, 1,174.26 and 571.56

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Solution

The fourth proportional to 851.41, 1,174.26 and 571.56 is: 788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.41 : 1,174.26 = 571.56 : x
  2. Step 2: Convert to fraction form
    851.41/1,174.26 = 571.56/x
  3. Step 3: Cross multiply
    851.41x = 1,174.26 × 571.56
  4. Step 4: Simplify right side
    851.41x = 671,160.05
  5. Step 5: Solve for x
    x = 671,160.05/851.41
  6. Step 6: Final answer
    x = 788.29

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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.