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Finding the Fourth Proportional to 887.10, 1,224.22 and 488.78

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Solution

The fourth proportional to 887.10, 1,224.22 and 488.78 is: 674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.10 : 1,224.22 = 488.78 : x
  2. Step 2: Convert to fraction form
    887.10/1,224.22 = 488.78/x
  3. Step 3: Cross multiply
    887.10x = 1,224.22 × 488.78
  4. Step 4: Simplify right side
    887.10x = 598,374.25
  5. Step 5: Solve for x
    x = 598,374.25/887.10
  6. Step 6: Final answer
    x = 674.53

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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.