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Finding the Fourth Proportional to 805.86, 1,209 and 258.06

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Solution

The fourth proportional to 805.86, 1,209 and 258.06 is: 387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.86 : 1,209 = 258.06 : x
  2. Step 2: Convert to fraction form
    805.86/1,209 = 258.06/x
  3. Step 3: Cross multiply
    805.86x = 1,209 × 258.06
  4. Step 4: Simplify right side
    805.86x = 311,994.54
  5. Step 5: Solve for x
    x = 311,994.54/805.86
  6. Step 6: Final answer
    x = 387.16

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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.