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Finding the Fourth Proportional to 894.13, 1,233.96 and 495.81

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Solution

The fourth proportional to 894.13, 1,233.96 and 495.81 is: 684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.13 : 1,233.96 = 495.81 : x
  2. Step 2: Convert to fraction form
    894.13/1,233.96 = 495.81/x
  3. Step 3: Cross multiply
    894.13x = 1,233.96 × 495.81
  4. Step 4: Simplify right side
    894.13x = 611,814.80
  5. Step 5: Solve for x
    x = 611,814.80/894.13
  6. Step 6: Final answer
    x = 684.26

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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.