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Finding the Fourth Proportional to 895.36, 1,236.72 and 812.20

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Solution

The fourth proportional to 895.36, 1,236.72 and 812.20 is: 1,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.36 : 1,236.72 = 812.20 : x
  2. Step 2: Convert to fraction form
    895.36/1,236.72 = 812.20/x
  3. Step 3: Cross multiply
    895.36x = 1,236.72 × 812.20
  4. Step 4: Simplify right side
    895.36x = 1,004,463.98
  5. Step 5: Solve for x
    x = 1,004,463.98/895.36
  6. Step 6: Final answer
    x = 1,121.85

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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.