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Finding the Fourth Proportional to 806.90, 1,215.59 and 796.82

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Solution

The fourth proportional to 806.90, 1,215.59 and 796.82 is: 1,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.90 : 1,215.59 = 796.82 : x
  2. Step 2: Convert to fraction form
    806.90/1,215.59 = 796.82/x
  3. Step 3: Cross multiply
    806.90x = 1,215.59 × 796.82
  4. Step 4: Simplify right side
    806.90x = 968,602.34
  5. Step 5: Solve for x
    x = 968,602.34/806.90
  6. Step 6: Final answer
    x = 1,200.41

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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.