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Finding the Fourth Proportional to 850.95, 1,174.32 and 496.89

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Solution

The fourth proportional to 850.95, 1,174.32 and 496.89 is: 685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.95 : 1,174.32 = 496.89 : x
  2. Step 2: Convert to fraction form
    850.95/1,174.32 = 496.89/x
  3. Step 3: Cross multiply
    850.95x = 1,174.32 × 496.89
  4. Step 4: Simplify right side
    850.95x = 583,507.86
  5. Step 5: Solve for x
    x = 583,507.86/850.95
  6. Step 6: Final answer
    x = 685.71

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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.