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Finding the Fourth Proportional to 1,201.76, 1,801.25 and 551.13

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Solution

The fourth proportional to 1,201.76, 1,801.25 and 551.13 is: 826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.76 : 1,801.25 = 551.13 : x
  2. Step 2: Convert to fraction form
    1,201.76/1,801.25 = 551.13/x
  3. Step 3: Cross multiply
    1,201.76x = 1,801.25 × 551.13
  4. Step 4: Simplify right side
    1,201.76x = 992,722.91
  5. Step 5: Solve for x
    x = 992,722.91/1,201.76
  6. Step 6: Final answer
    x = 826.06

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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.