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Finding the Fourth Proportional to 716.80, 1,073.76 and 523.84

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Solution

The fourth proportional to 716.80, 1,073.76 and 523.84 is: 784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.80 : 1,073.76 = 523.84 : x
  2. Step 2: Convert to fraction form
    716.80/1,073.76 = 523.84/x
  3. Step 3: Cross multiply
    716.80x = 1,073.76 × 523.84
  4. Step 4: Simplify right side
    716.80x = 562,478.44
  5. Step 5: Solve for x
    x = 562,478.44/716.80
  6. Step 6: Final answer
    x = 784.71

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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.