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Finding the Fourth Proportional to 968.45, 1,327.75 and 950.92

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Solution

The fourth proportional to 968.45, 1,327.75 and 950.92 is: 1,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.45 : 1,327.75 = 950.92 : x
  2. Step 2: Convert to fraction form
    968.45/1,327.75 = 950.92/x
  3. Step 3: Cross multiply
    968.45x = 1,327.75 × 950.92
  4. Step 4: Simplify right side
    968.45x = 1,262,578.33
  5. Step 5: Solve for x
    x = 1,262,578.33/968.45
  6. Step 6: Final answer
    x = 1,303.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.