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Finding the Fourth Proportional to 850.24, 1,174.60 and 810.24

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Solution

The fourth proportional to 850.24, 1,174.60 and 810.24 is: 1,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.24 : 1,174.60 = 810.24 : x
  2. Step 2: Convert to fraction form
    850.24/1,174.60 = 810.24/x
  3. Step 3: Cross multiply
    850.24x = 1,174.60 × 810.24
  4. Step 4: Simplify right side
    850.24x = 951,707.90
  5. Step 5: Solve for x
    x = 951,707.90/850.24
  6. Step 6: Final answer
    x = 1,119.34

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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.