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Finding the Fourth Proportional to 1,332.12, 1,998.10 and 551.88

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Solution

The fourth proportional to 1,332.12, 1,998.10 and 551.88 is: 827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.12 : 1,998.10 = 551.88 : x
  2. Step 2: Convert to fraction form
    1,332.12/1,998.10 = 551.88/x
  3. Step 3: Cross multiply
    1,332.12x = 1,998.10 × 551.88
  4. Step 4: Simplify right side
    1,332.12x = 1,102,711.43
  5. Step 5: Solve for x
    x = 1,102,711.43/1,332.12
  6. Step 6: Final answer
    x = 827.79

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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.