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Finding the Fourth Proportional to 850.44, 1,173.80 and 501.24

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Solution

The fourth proportional to 850.44, 1,173.80 and 501.24 is: 691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.44 : 1,173.80 = 501.24 : x
  2. Step 2: Convert to fraction form
    850.44/1,173.80 = 501.24/x
  3. Step 3: Cross multiply
    850.44x = 1,173.80 × 501.24
  4. Step 4: Simplify right side
    850.44x = 588,353.01
  5. Step 5: Solve for x
    x = 588,353.01/850.44
  6. Step 6: Final answer
    x = 691.82

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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.