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Finding the Fourth Proportional to 923.68, 1,383.96 and 727.90

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Solution

The fourth proportional to 923.68, 1,383.96 and 727.90 is: 1,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.68 : 1,383.96 = 727.90 : x
  2. Step 2: Convert to fraction form
    923.68/1,383.96 = 727.90/x
  3. Step 3: Cross multiply
    923.68x = 1,383.96 × 727.90
  4. Step 4: Simplify right side
    923.68x = 1,007,384.48
  5. Step 5: Solve for x
    x = 1,007,384.48/923.68
  6. Step 6: Final answer
    x = 1,090.62

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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.