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Finding the Fourth Proportional to 887.32, 1,224.50 and 494.34

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Solution

The fourth proportional to 887.32, 1,224.50 and 494.34 is: 682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.32 : 1,224.50 = 494.34 : x
  2. Step 2: Convert to fraction form
    887.32/1,224.50 = 494.34/x
  3. Step 3: Cross multiply
    887.32x = 1,224.50 × 494.34
  4. Step 4: Simplify right side
    887.32x = 605,319.33
  5. Step 5: Solve for x
    x = 605,319.33/887.32
  6. Step 6: Final answer
    x = 682.19

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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.