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Finding the Fourth Proportional to 1,524.69, 2,287.28 and 551.03

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Solution

The fourth proportional to 1,524.69, 2,287.28 and 551.03 is: 826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.69 : 2,287.28 = 551.03 : x
  2. Step 2: Convert to fraction form
    1,524.69/2,287.28 = 551.03/x
  3. Step 3: Cross multiply
    1,524.69x = 2,287.28 × 551.03
  4. Step 4: Simplify right side
    1,524.69x = 1,260,349.84
  5. Step 5: Solve for x
    x = 1,260,349.84/1,524.69
  6. Step 6: Final answer
    x = 826.63

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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.