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Finding the Fourth Proportional to 966.82, 1,334.37 and 573.86

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Solution

The fourth proportional to 966.82, 1,334.37 and 573.86 is: 792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.82 : 1,334.37 = 573.86 : x
  2. Step 2: Convert to fraction form
    966.82/1,334.37 = 573.86/x
  3. Step 3: Cross multiply
    966.82x = 1,334.37 × 573.86
  4. Step 4: Simplify right side
    966.82x = 765,741.57
  5. Step 5: Solve for x
    x = 765,741.57/966.82
  6. Step 6: Final answer
    x = 792.02

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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.