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Finding the Fourth Proportional to 894.20, 1,233.95 and 495.83

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Solution

The fourth proportional to 894.20, 1,233.95 and 495.83 is: 684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.20 : 1,233.95 = 495.83 : x
  2. Step 2: Convert to fraction form
    894.20/1,233.95 = 495.83/x
  3. Step 3: Cross multiply
    894.20x = 1,233.95 × 495.83
  4. Step 4: Simplify right side
    894.20x = 611,826.95
  5. Step 5: Solve for x
    x = 611,826.95/894.20
  6. Step 6: Final answer
    x = 684.22

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Why These Related Problems?

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