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Finding the Fourth Proportional to 887.36, 1,224.48 and 494.36

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Solution

The fourth proportional to 887.36, 1,224.48 and 494.36 is: 682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.36 : 1,224.48 = 494.36 : x
  2. Step 2: Convert to fraction form
    887.36/1,224.48 = 494.36/x
  3. Step 3: Cross multiply
    887.36x = 1,224.48 × 494.36
  4. Step 4: Simplify right side
    887.36x = 605,333.93
  5. Step 5: Solve for x
    x = 605,333.93/887.36
  6. Step 6: Final answer
    x = 682.17

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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.