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Finding the Fourth Proportional to 716.88, 1,074.84 and 331.76

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Solution

The fourth proportional to 716.88, 1,074.84 and 331.76 is: 497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.88 : 1,074.84 = 331.76 : x
  2. Step 2: Convert to fraction form
    716.88/1,074.84 = 331.76/x
  3. Step 3: Cross multiply
    716.88x = 1,074.84 × 331.76
  4. Step 4: Simplify right side
    716.88x = 356,588.92
  5. Step 5: Solve for x
    x = 356,588.92/716.88
  6. Step 6: Final answer
    x = 497.42

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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.