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Finding the Fourth Proportional to 923.89, 1,385.90 and 799.24

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Solution

The fourth proportional to 923.89, 1,385.90 and 799.24 is: 1,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.89 : 1,385.90 = 799.24 : x
  2. Step 2: Convert to fraction form
    923.89/1,385.90 = 799.24/x
  3. Step 3: Cross multiply
    923.89x = 1,385.90 × 799.24
  4. Step 4: Simplify right side
    923.89x = 1,107,666.72
  5. Step 5: Solve for x
    x = 1,107,666.72/923.89
  6. Step 6: Final answer
    x = 1,198.92

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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.