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Finding the Fourth Proportional to 862.16, 1,299.74 and 806.48

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Solution

The fourth proportional to 862.16, 1,299.74 and 806.48 is: 1,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.16 : 1,299.74 = 806.48 : x
  2. Step 2: Convert to fraction form
    862.16/1,299.74 = 806.48/x
  3. Step 3: Cross multiply
    862.16x = 1,299.74 × 806.48
  4. Step 4: Simplify right side
    862.16x = 1,048,214.32
  5. Step 5: Solve for x
    x = 1,048,214.32/862.16
  6. Step 6: Final answer
    x = 1,215.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.