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Finding the Fourth Proportional to 967, 1,334.46 and 691.48

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Solution

The fourth proportional to 967, 1,334.46 and 691.48 is: 954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    967 : 1,334.46 = 691.48 : x
  2. Step 2: Convert to fraction form
    967/1,334.46 = 691.48/x
  3. Step 3: Cross multiply
    967x = 1,334.46 × 691.48
  4. Step 4: Simplify right side
    967x = 922,752.40
  5. Step 5: Solve for x
    x = 922,752.40/967
  6. Step 6: Final answer
    x = 954.24

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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.