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Finding the Fourth Proportional to 851.22, 1,175.82 and 686.10

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Solution

The fourth proportional to 851.22, 1,175.82 and 686.10 is: 947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.22 : 1,175.82 = 686.10 : x
  2. Step 2: Convert to fraction form
    851.22/1,175.82 = 686.10/x
  3. Step 3: Cross multiply
    851.22x = 1,175.82 × 686.10
  4. Step 4: Simplify right side
    851.22x = 806,730.10
  5. Step 5: Solve for x
    x = 806,730.10/851.22
  6. Step 6: Final answer
    x = 947.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.