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Finding the Fourth Proportional to 887.30, 1,224.47 and 494.31

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Solution

The fourth proportional to 887.30, 1,224.47 and 494.31 is: 682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.30 : 1,224.47 = 494.31 : x
  2. Step 2: Convert to fraction form
    887.30/1,224.47 = 494.31/x
  3. Step 3: Cross multiply
    887.30x = 1,224.47 × 494.31
  4. Step 4: Simplify right side
    887.30x = 605,265.29
  5. Step 5: Solve for x
    x = 605,265.29/887.30
  6. Step 6: Final answer
    x = 682.15

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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.