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Finding the Fourth Proportional to 1,288.70, 1,777.26 and 1,039.94

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Solution

The fourth proportional to 1,288.70, 1,777.26 and 1,039.94 is: 1,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.70 : 1,777.26 = 1,039.94 : x
  2. Step 2: Convert to fraction form
    1,288.70/1,777.26 = 1,039.94/x
  3. Step 3: Cross multiply
    1,288.70x = 1,777.26 × 1,039.94
  4. Step 4: Simplify right side
    1,288.70x = 1,848,243.76
  5. Step 5: Solve for x
    x = 1,848,243.76/1,288.70
  6. Step 6: Final answer
    x = 1,434.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.