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Finding the Fourth Proportional to 966.92, 1,334.38 and 573.96

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Solution

The fourth proportional to 966.92, 1,334.38 and 573.96 is: 792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.92 : 1,334.38 = 573.96 : x
  2. Step 2: Convert to fraction form
    966.92/1,334.38 = 573.96/x
  3. Step 3: Cross multiply
    966.92x = 1,334.38 × 573.96
  4. Step 4: Simplify right side
    966.92x = 765,880.74
  5. Step 5: Solve for x
    x = 765,880.74/966.92
  6. Step 6: Final answer
    x = 792.08

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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.