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Finding the Fourth Proportional to 819.11, 1,226.71 and 471.72

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Solution

The fourth proportional to 819.11, 1,226.71 and 471.72 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.11 : 1,226.71 = 471.72 : x
  2. Step 2: Convert to fraction form
    819.11/1,226.71 = 471.72/x
  3. Step 3: Cross multiply
    819.11x = 1,226.71 × 471.72
  4. Step 4: Simplify right side
    819.11x = 578,662.06
  5. Step 5: Solve for x
    x = 578,662.06/819.11
  6. Step 6: Final answer
    x = 706.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.