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Finding the Fourth Proportional to 923.94, 1,386 and 274.56

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Solution

The fourth proportional to 923.94, 1,386 and 274.56 is: 411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.94 : 1,386 = 274.56 : x
  2. Step 2: Convert to fraction form
    923.94/1,386 = 274.56/x
  3. Step 3: Cross multiply
    923.94x = 1,386 × 274.56
  4. Step 4: Simplify right side
    923.94x = 380,540.16
  5. Step 5: Solve for x
    x = 380,540.16/923.94
  6. Step 6: Final answer
    x = 411.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.