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Finding the Fourth Proportional to 887.29, 1,224.43 and 494.30

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Solution

The fourth proportional to 887.29, 1,224.43 and 494.30 is: 682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.29 : 1,224.43 = 494.30 : x
  2. Step 2: Convert to fraction form
    887.29/1,224.43 = 494.30/x
  3. Step 3: Cross multiply
    887.29x = 1,224.43 × 494.30
  4. Step 4: Simplify right side
    887.29x = 605,237.57
  5. Step 5: Solve for x
    x = 605,237.57/887.29
  6. Step 6: Final answer
    x = 682.12

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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.