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Finding the Fourth Proportional to 950.88, 1,309.56 and 767.82

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Solution

The fourth proportional to 950.88, 1,309.56 and 767.82 is: 1,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.88 : 1,309.56 = 767.82 : x
  2. Step 2: Convert to fraction form
    950.88/1,309.56 = 767.82/x
  3. Step 3: Cross multiply
    950.88x = 1,309.56 × 767.82
  4. Step 4: Simplify right side
    950.88x = 1,005,506.36
  5. Step 5: Solve for x
    x = 1,005,506.36/950.88
  6. Step 6: Final answer
    x = 1,057.45

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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.