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Finding the Fourth Proportional to 887.52, 1,224.78 and 494.54

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Solution

The fourth proportional to 887.52, 1,224.78 and 494.54 is: 682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.52 : 1,224.78 = 494.54 : x
  2. Step 2: Convert to fraction form
    887.52/1,224.78 = 494.54/x
  3. Step 3: Cross multiply
    887.52x = 1,224.78 × 494.54
  4. Step 4: Simplify right side
    887.52x = 605,704.83
  5. Step 5: Solve for x
    x = 605,704.83/887.52
  6. Step 6: Final answer
    x = 682.47

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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.