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Finding the Fourth Proportional to 817.94, 1,226.92 and 471.80

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Solution

The fourth proportional to 817.94, 1,226.92 and 471.80 is: 707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.94 : 1,226.92 = 471.80 : x
  2. Step 2: Convert to fraction form
    817.94/1,226.92 = 471.80/x
  3. Step 3: Cross multiply
    817.94x = 1,226.92 × 471.80
  4. Step 4: Simplify right side
    817.94x = 578,860.86
  5. Step 5: Solve for x
    x = 578,860.86/817.94
  6. Step 6: Final answer
    x = 707.71

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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.