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Finding the Fourth Proportional to 894.94, 1,342.41 and 381.94

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Solution

The fourth proportional to 894.94, 1,342.41 and 381.94 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.94 : 1,342.41 = 381.94 : x
  2. Step 2: Convert to fraction form
    894.94/1,342.41 = 381.94/x
  3. Step 3: Cross multiply
    894.94x = 1,342.41 × 381.94
  4. Step 4: Simplify right side
    894.94x = 512,715.29
  5. Step 5: Solve for x
    x = 512,715.29/894.94
  6. Step 6: Final answer
    x = 572.91

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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.