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Finding the Fourth Proportional to 887.66, 1,224.97 and 494.69

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Solution

The fourth proportional to 887.66, 1,224.97 and 494.69 is: 682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.66 : 1,224.97 = 494.69 : x
  2. Step 2: Convert to fraction form
    887.66/1,224.97 = 494.69/x
  3. Step 3: Cross multiply
    887.66x = 1,224.97 × 494.69
  4. Step 4: Simplify right side
    887.66x = 605,974.28
  5. Step 5: Solve for x
    x = 605,974.28/887.66
  6. Step 6: Final answer
    x = 682.67

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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.