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Finding the Fourth Proportional to 1,087.92, 1,499.96 and 908.54

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Solution

The fourth proportional to 1,087.92, 1,499.96 and 908.54 is: 1,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.92 : 1,499.96 = 908.54 : x
  2. Step 2: Convert to fraction form
    1,087.92/1,499.96 = 908.54/x
  3. Step 3: Cross multiply
    1,087.92x = 1,499.96 × 908.54
  4. Step 4: Simplify right side
    1,087.92x = 1,362,773.66
  5. Step 5: Solve for x
    x = 1,362,773.66/1,087.92
  6. Step 6: Final answer
    x = 1,252.64

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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.