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Finding the Fourth Proportional to 927.18, 1,382.67 and 812.16

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Solution

The fourth proportional to 927.18, 1,382.67 and 812.16 is: 1,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.18 : 1,382.67 = 812.16 : x
  2. Step 2: Convert to fraction form
    927.18/1,382.67 = 812.16/x
  3. Step 3: Cross multiply
    927.18x = 1,382.67 × 812.16
  4. Step 4: Simplify right side
    927.18x = 1,122,949.27
  5. Step 5: Solve for x
    x = 1,122,949.27/927.18
  6. Step 6: Final answer
    x = 1,211.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.