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Finding the Fourth Proportional to 888.14, 1,225.73 and 538.82

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Solution

The fourth proportional to 888.14, 1,225.73 and 538.82 is: 743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.14 : 1,225.73 = 538.82 : x
  2. Step 2: Convert to fraction form
    888.14/1,225.73 = 538.82/x
  3. Step 3: Cross multiply
    888.14x = 1,225.73 × 538.82
  4. Step 4: Simplify right side
    888.14x = 660,447.84
  5. Step 5: Solve for x
    x = 660,447.84/888.14
  6. Step 6: Final answer
    x = 743.63

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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.