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Finding the Fourth Proportional to 923.37, 1,382.31 and 557.04

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Solution

The fourth proportional to 923.37, 1,382.31 and 557.04 is: 833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.37 : 1,382.31 = 557.04 : x
  2. Step 2: Convert to fraction form
    923.37/1,382.31 = 557.04/x
  3. Step 3: Cross multiply
    923.37x = 1,382.31 × 557.04
  4. Step 4: Simplify right side
    923.37x = 770,001.96
  5. Step 5: Solve for x
    x = 770,001.96/923.37
  6. Step 6: Final answer
    x = 833.90

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