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Finding the Fourth Proportional to 809.82, 1,118.07 and 499.50

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Solution

The fourth proportional to 809.82, 1,118.07 and 499.50 is: 689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.82 : 1,118.07 = 499.50 : x
  2. Step 2: Convert to fraction form
    809.82/1,118.07 = 499.50/x
  3. Step 3: Cross multiply
    809.82x = 1,118.07 × 499.50
  4. Step 4: Simplify right side
    809.82x = 558,475.97
  5. Step 5: Solve for x
    x = 558,475.97/809.82
  6. Step 6: Final answer
    x = 689.63

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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.