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Finding the Fourth Proportional to 967.38, 1,335.38 and 687.66

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Solution

The fourth proportional to 967.38, 1,335.38 and 687.66 is: 949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.38 : 1,335.38 = 687.66 : x
  2. Step 2: Convert to fraction form
    967.38/1,335.38 = 687.66/x
  3. Step 3: Cross multiply
    967.38x = 1,335.38 × 687.66
  4. Step 4: Simplify right side
    967.38x = 918,287.41
  5. Step 5: Solve for x
    x = 918,287.41/967.38
  6. Step 6: Final answer
    x = 949.25

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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.