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Finding the Fourth Proportional to 817.86, 1,226.54 and 297.80

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Solution

The fourth proportional to 817.86, 1,226.54 and 297.80 is: 446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.86 : 1,226.54 = 297.80 : x
  2. Step 2: Convert to fraction form
    817.86/1,226.54 = 297.80/x
  3. Step 3: Cross multiply
    817.86x = 1,226.54 × 297.80
  4. Step 4: Simplify right side
    817.86x = 365,263.61
  5. Step 5: Solve for x
    x = 365,263.61/817.86
  6. Step 6: Final answer
    x = 446.61

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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.