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Finding the Fourth Proportional to 1,407.24, 1,942.82 and 965.79

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Solution

The fourth proportional to 1,407.24, 1,942.82 and 965.79 is: 1,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.24 : 1,942.82 = 965.79 : x
  2. Step 2: Convert to fraction form
    1,407.24/1,942.82 = 965.79/x
  3. Step 3: Cross multiply
    1,407.24x = 1,942.82 × 965.79
  4. Step 4: Simplify right side
    1,407.24x = 1,876,351.30
  5. Step 5: Solve for x
    x = 1,876,351.30/1,407.24
  6. Step 6: Final answer
    x = 1,333.36

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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.