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Finding the Fourth Proportional to 894.90, 1,235.01 and 496.61

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Solution

The fourth proportional to 894.90, 1,235.01 and 496.61 is: 685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.90 : 1,235.01 = 496.61 : x
  2. Step 2: Convert to fraction form
    894.90/1,235.01 = 496.61/x
  3. Step 3: Cross multiply
    894.90x = 1,235.01 × 496.61
  4. Step 4: Simplify right side
    894.90x = 613,318.32
  5. Step 5: Solve for x
    x = 613,318.32/894.90
  6. Step 6: Final answer
    x = 685.35

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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.