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Finding the Fourth Proportional to 1,494.73, 2,062.38 and 905.16

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Solution

The fourth proportional to 1,494.73, 2,062.38 and 905.16 is: 1,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.73 : 2,062.38 = 905.16 : x
  2. Step 2: Convert to fraction form
    1,494.73/2,062.38 = 905.16/x
  3. Step 3: Cross multiply
    1,494.73x = 2,062.38 × 905.16
  4. Step 4: Simplify right side
    1,494.73x = 1,866,783.88
  5. Step 5: Solve for x
    x = 1,866,783.88/1,494.73
  6. Step 6: Final answer
    x = 1,248.91

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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.