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Finding the Fourth Proportional to 1,017.87, 1,516.59 and 908.73

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Solution

The fourth proportional to 1,017.87, 1,516.59 and 908.73 is: 1,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.87 : 1,516.59 = 908.73 : x
  2. Step 2: Convert to fraction form
    1,017.87/1,516.59 = 908.73/x
  3. Step 3: Cross multiply
    1,017.87x = 1,516.59 × 908.73
  4. Step 4: Simplify right side
    1,017.87x = 1,378,170.83
  5. Step 5: Solve for x
    x = 1,378,170.83/1,017.87
  6. Step 6: Final answer
    x = 1,353.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.