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Finding the Fourth Proportional to 857.23, 1,181.87 and 699.71

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Solution

The fourth proportional to 857.23, 1,181.87 and 699.71 is: 964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.23 : 1,181.87 = 699.71 : x
  2. Step 2: Convert to fraction form
    857.23/1,181.87 = 699.71/x
  3. Step 3: Cross multiply
    857.23x = 1,181.87 × 699.71
  4. Step 4: Simplify right side
    857.23x = 826,959.47
  5. Step 5: Solve for x
    x = 826,959.47/857.23
  6. Step 6: Final answer
    x = 964.69

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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.