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Finding the Fourth Proportional to 894.11, 1,233.92 and 562.75

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Solution

The fourth proportional to 894.11, 1,233.92 and 562.75 is: 776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.11 : 1,233.92 = 562.75 : x
  2. Step 2: Convert to fraction form
    894.11/1,233.92 = 562.75/x
  3. Step 3: Cross multiply
    894.11x = 1,233.92 × 562.75
  4. Step 4: Simplify right side
    894.11x = 694,386.80
  5. Step 5: Solve for x
    x = 694,386.80/894.11
  6. Step 6: Final answer
    x = 776.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.