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Finding the Fourth Proportional to 894.55, 1,342.26 and 504.97

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Solution

The fourth proportional to 894.55, 1,342.26 and 504.97 is: 757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.55 : 1,342.26 = 504.97 : x
  2. Step 2: Convert to fraction form
    894.55/1,342.26 = 504.97/x
  3. Step 3: Cross multiply
    894.55x = 1,342.26 × 504.97
  4. Step 4: Simplify right side
    894.55x = 677,801.03
  5. Step 5: Solve for x
    x = 677,801.03/894.55
  6. Step 6: Final answer
    x = 757.70

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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.