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Finding the Fourth Proportional to 894.80, 1,234.82 and 496.46

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Solution

The fourth proportional to 894.80, 1,234.82 and 496.46 is: 685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.80 : 1,234.82 = 496.46 : x
  2. Step 2: Convert to fraction form
    894.80/1,234.82 = 496.46/x
  3. Step 3: Cross multiply
    894.80x = 1,234.82 × 496.46
  4. Step 4: Simplify right side
    894.80x = 613,038.74
  5. Step 5: Solve for x
    x = 613,038.74/894.80
  6. Step 6: Final answer
    x = 685.11

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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.