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Finding the Fourth Proportional to 851.07, 1,277.82 and 699.21

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Solution

The fourth proportional to 851.07, 1,277.82 and 699.21 is: 1,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.07 : 1,277.82 = 699.21 : x
  2. Step 2: Convert to fraction form
    851.07/1,277.82 = 699.21/x
  3. Step 3: Cross multiply
    851.07x = 1,277.82 × 699.21
  4. Step 4: Simplify right side
    851.07x = 893,464.52
  5. Step 5: Solve for x
    x = 893,464.52/851.07
  6. Step 6: Final answer
    x = 1,049.81

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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.