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Finding the Fourth Proportional to 887.97, 1,225.36 and 494.92

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Solution

The fourth proportional to 887.97, 1,225.36 and 494.92 is: 682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.97 : 1,225.36 = 494.92 : x
  2. Step 2: Convert to fraction form
    887.97/1,225.36 = 494.92/x
  3. Step 3: Cross multiply
    887.97x = 1,225.36 × 494.92
  4. Step 4: Simplify right side
    887.97x = 606,452.70
  5. Step 5: Solve for x
    x = 606,452.70/887.97
  6. Step 6: Final answer
    x = 682.97

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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.