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Finding the Fourth Proportional to 894.59, 1,234.53 and 496.25

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Solution

The fourth proportional to 894.59, 1,234.53 and 496.25 is: 684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.59 : 1,234.53 = 496.25 : x
  2. Step 2: Convert to fraction form
    894.59/1,234.53 = 496.25/x
  3. Step 3: Cross multiply
    894.59x = 1,234.53 × 496.25
  4. Step 4: Simplify right side
    894.59x = 612,629.34
  5. Step 5: Solve for x
    x = 612,629.34/894.59
  6. Step 6: Final answer
    x = 684.82

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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.