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Finding the Fourth Proportional to 806.47, 1,209.36 and 286.31

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Solution

The fourth proportional to 806.47, 1,209.36 and 286.31 is: 429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.47 : 1,209.36 = 286.31 : x
  2. Step 2: Convert to fraction form
    806.47/1,209.36 = 286.31/x
  3. Step 3: Cross multiply
    806.47x = 1,209.36 × 286.31
  4. Step 4: Simplify right side
    806.47x = 346,251.86
  5. Step 5: Solve for x
    x = 346,251.86/806.47
  6. Step 6: Final answer
    x = 429.34

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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.