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Finding the Fourth Proportional to 923.75, 1,383.85 and 727.71

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Solution

The fourth proportional to 923.75, 1,383.85 and 727.71 is: 1,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.75 : 1,383.85 = 727.71 : x
  2. Step 2: Convert to fraction form
    923.75/1,383.85 = 727.71/x
  3. Step 3: Cross multiply
    923.75x = 1,383.85 × 727.71
  4. Step 4: Simplify right side
    923.75x = 1,007,041.48
  5. Step 5: Solve for x
    x = 1,007,041.48/923.75
  6. Step 6: Final answer
    x = 1,090.17

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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.