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Finding the Fourth Proportional to 923.98, 1,385.82 and 274.78

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Solution

The fourth proportional to 923.98, 1,385.82 and 274.78 is: 412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.98 : 1,385.82 = 274.78 : x
  2. Step 2: Convert to fraction form
    923.98/1,385.82 = 274.78/x
  3. Step 3: Cross multiply
    923.98x = 1,385.82 × 274.78
  4. Step 4: Simplify right side
    923.98x = 380,795.62
  5. Step 5: Solve for x
    x = 380,795.62/923.98
  6. Step 6: Final answer
    x = 412.13

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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.