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Finding the Fourth Proportional to 800.25, 1,103.74 and 551.99

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Solution

The fourth proportional to 800.25, 1,103.74 and 551.99 is: 761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.25 : 1,103.74 = 551.99 : x
  2. Step 2: Convert to fraction form
    800.25/1,103.74 = 551.99/x
  3. Step 3: Cross multiply
    800.25x = 1,103.74 × 551.99
  4. Step 4: Simplify right side
    800.25x = 609,246.54
  5. Step 5: Solve for x
    x = 609,246.54/800.25
  6. Step 6: Final answer
    x = 761.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.