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Finding the Fourth Proportional to 894.57, 1,233.85 and 614.85

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Solution

The fourth proportional to 894.57, 1,233.85 and 614.85 is: 848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.57 : 1,233.85 = 614.85 : x
  2. Step 2: Convert to fraction form
    894.57/1,233.85 = 614.85/x
  3. Step 3: Cross multiply
    894.57x = 1,233.85 × 614.85
  4. Step 4: Simplify right side
    894.57x = 758,632.67
  5. Step 5: Solve for x
    x = 758,632.67/894.57
  6. Step 6: Final answer
    x = 848.04

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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.