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Finding the Fourth Proportional to 809.98, 1,211.70 and 686.86

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Solution

The fourth proportional to 809.98, 1,211.70 and 686.86 is: 1,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.98 : 1,211.70 = 686.86 : x
  2. Step 2: Convert to fraction form
    809.98/1,211.70 = 686.86/x
  3. Step 3: Cross multiply
    809.98x = 1,211.70 × 686.86
  4. Step 4: Simplify right side
    809.98x = 832,268.26
  5. Step 5: Solve for x
    x = 832,268.26/809.98
  6. Step 6: Final answer
    x = 1,027.52

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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.