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Finding the Fourth Proportional to 1,201.99, 1,800.58 and 551.83

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Solution

The fourth proportional to 1,201.99, 1,800.58 and 551.83 is: 826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.99 : 1,800.58 = 551.83 : x
  2. Step 2: Convert to fraction form
    1,201.99/1,800.58 = 551.83/x
  3. Step 3: Cross multiply
    1,201.99x = 1,800.58 × 551.83
  4. Step 4: Simplify right side
    1,201.99x = 993,614.06
  5. Step 5: Solve for x
    x = 993,614.06/1,201.99
  6. Step 6: Final answer
    x = 826.64

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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.