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Finding the Fourth Proportional to 809.26, 1,116.79 and 529.98

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Solution

The fourth proportional to 809.26, 1,116.79 and 529.98 is: 731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.26 : 1,116.79 = 529.98 : x
  2. Step 2: Convert to fraction form
    809.26/1,116.79 = 529.98/x
  3. Step 3: Cross multiply
    809.26x = 1,116.79 × 529.98
  4. Step 4: Simplify right side
    809.26x = 591,870.85
  5. Step 5: Solve for x
    x = 591,870.85/809.26
  6. Step 6: Final answer
    x = 731.38

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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.