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Finding the Fourth Proportional to 852.24, 1,169.18 and 810.92

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Solution

The fourth proportional to 852.24, 1,169.18 and 810.92 is: 1,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.24 : 1,169.18 = 810.92 : x
  2. Step 2: Convert to fraction form
    852.24/1,169.18 = 810.92/x
  3. Step 3: Cross multiply
    852.24x = 1,169.18 × 810.92
  4. Step 4: Simplify right side
    852.24x = 948,111.45
  5. Step 5: Solve for x
    x = 948,111.45/852.24
  6. Step 6: Final answer
    x = 1,112.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.