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Finding the Fourth Proportional to 1,296.88, 1,942.57 and 905.95

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Solution

The fourth proportional to 1,296.88, 1,942.57 and 905.95 is: 1,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.88 : 1,942.57 = 905.95 : x
  2. Step 2: Convert to fraction form
    1,296.88/1,942.57 = 905.95/x
  3. Step 3: Cross multiply
    1,296.88x = 1,942.57 × 905.95
  4. Step 4: Simplify right side
    1,296.88x = 1,759,869.76
  5. Step 5: Solve for x
    x = 1,759,869.76/1,296.88
  6. Step 6: Final answer
    x = 1,357.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.