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Finding the Fourth Proportional to 809.00, 1,209.51 and 686.96

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Solution

The fourth proportional to 809.00, 1,209.51 and 686.96 is: 1,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.00 : 1,209.51 = 686.96 : x
  2. Step 2: Convert to fraction form
    809.00/1,209.51 = 686.96/x
  3. Step 3: Cross multiply
    809.00x = 1,209.51 × 686.96
  4. Step 4: Simplify right side
    809.00x = 830,878.94
  5. Step 5: Solve for x
    x = 830,878.94/809.00
  6. Step 6: Final answer
    x = 1,027.05

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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.