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Finding the Fourth Proportional to 806.39, 1,209.58 and 258.62

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Solution

The fourth proportional to 806.39, 1,209.58 and 258.62 is: 387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.39 : 1,209.58 = 258.62 : x
  2. Step 2: Convert to fraction form
    806.39/1,209.58 = 258.62/x
  3. Step 3: Cross multiply
    806.39x = 1,209.58 × 258.62
  4. Step 4: Simplify right side
    806.39x = 312,816.34
  5. Step 5: Solve for x
    x = 312,816.34/806.39
  6. Step 6: Final answer
    x = 387.92

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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.