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Finding the Fourth Proportional to 849.83, 1,275.77 and 806.77

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Solution

The fourth proportional to 849.83, 1,275.77 and 806.77 is: 1,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.83 : 1,275.77 = 806.77 : x
  2. Step 2: Convert to fraction form
    849.83/1,275.77 = 806.77/x
  3. Step 3: Cross multiply
    849.83x = 1,275.77 × 806.77
  4. Step 4: Simplify right side
    849.83x = 1,029,252.96
  5. Step 5: Solve for x
    x = 1,029,252.96/849.83
  6. Step 6: Final answer
    x = 1,211.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.