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Finding the Fourth Proportional to 850.76, 1,174.62 and 571.41

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Solution

The fourth proportional to 850.76, 1,174.62 and 571.41 is: 788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.76 : 1,174.62 = 571.41 : x
  2. Step 2: Convert to fraction form
    850.76/1,174.62 = 571.41/x
  3. Step 3: Cross multiply
    850.76x = 1,174.62 × 571.41
  4. Step 4: Simplify right side
    850.76x = 671,189.61
  5. Step 5: Solve for x
    x = 671,189.61/850.76
  6. Step 6: Final answer
    x = 788.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.