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Finding the Fourth Proportional to 894.29, 1,234.16 and 495.95

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Solution

The fourth proportional to 894.29, 1,234.16 and 495.95 is: 684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.29 : 1,234.16 = 495.95 : x
  2. Step 2: Convert to fraction form
    894.29/1,234.16 = 495.95/x
  3. Step 3: Cross multiply
    894.29x = 1,234.16 × 495.95
  4. Step 4: Simplify right side
    894.29x = 612,084.74
  5. Step 5: Solve for x
    x = 612,084.74/894.29
  6. Step 6: Final answer
    x = 684.44

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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.