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Finding the Fourth Proportional to 923.44, 1,274.82 and 713.15

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Solution

The fourth proportional to 923.44, 1,274.82 and 713.15 is: 984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.44 : 1,274.82 = 713.15 : x
  2. Step 2: Convert to fraction form
    923.44/1,274.82 = 713.15/x
  3. Step 3: Cross multiply
    923.44x = 1,274.82 × 713.15
  4. Step 4: Simplify right side
    923.44x = 909,137.88
  5. Step 5: Solve for x
    x = 909,137.88/923.44
  6. Step 6: Final answer
    x = 984.51

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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.