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Finding the Fourth Proportional to 805.86, 1,208.07 and 292.74

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Solution

The fourth proportional to 805.86, 1,208.07 and 292.74 is: 438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.86 : 1,208.07 = 292.74 : x
  2. Step 2: Convert to fraction form
    805.86/1,208.07 = 292.74/x
  3. Step 3: Cross multiply
    805.86x = 1,208.07 × 292.74
  4. Step 4: Simplify right side
    805.86x = 353,650.41
  5. Step 5: Solve for x
    x = 353,650.41/805.86
  6. Step 6: Final answer
    x = 438.85

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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.