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Finding the Fourth Proportional to 1,429.31, 1,972.76 and 905.65

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Solution

The fourth proportional to 1,429.31, 1,972.76 and 905.65 is: 1,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.31 : 1,972.76 = 905.65 : x
  2. Step 2: Convert to fraction form
    1,429.31/1,972.76 = 905.65/x
  3. Step 3: Cross multiply
    1,429.31x = 1,972.76 × 905.65
  4. Step 4: Simplify right side
    1,429.31x = 1,786,620.63
  5. Step 5: Solve for x
    x = 1,786,620.63/1,429.31
  6. Step 6: Final answer
    x = 1,249.99

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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.