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Finding the Fourth Proportional to 808.52, 1,209.74 and 677.12

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Solution

The fourth proportional to 808.52, 1,209.74 and 677.12 is: 1,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.52 : 1,209.74 = 677.12 : x
  2. Step 2: Convert to fraction form
    808.52/1,209.74 = 677.12/x
  3. Step 3: Cross multiply
    808.52x = 1,209.74 × 677.12
  4. Step 4: Simplify right side
    808.52x = 819,139.15
  5. Step 5: Solve for x
    x = 819,139.15/808.52
  6. Step 6: Final answer
    x = 1,013.13

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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.