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Finding the Fourth Proportional to 716.92, 1,073.62 and 533.88

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Solution

The fourth proportional to 716.92, 1,073.62 and 533.88 is: 799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.92 : 1,073.62 = 533.88 : x
  2. Step 2: Convert to fraction form
    716.92/1,073.62 = 533.88/x
  3. Step 3: Cross multiply
    716.92x = 1,073.62 × 533.88
  4. Step 4: Simplify right side
    716.92x = 573,184.25
  5. Step 5: Solve for x
    x = 573,184.25/716.92
  6. Step 6: Final answer
    x = 799.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.