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Finding the Fourth Proportional to 1,429.08, 2,141.91 and 696.97

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Solution

The fourth proportional to 1,429.08, 2,141.91 and 696.97 is: 1,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.08 : 2,141.91 = 696.97 : x
  2. Step 2: Convert to fraction form
    1,429.08/2,141.91 = 696.97/x
  3. Step 3: Cross multiply
    1,429.08x = 2,141.91 × 696.97
  4. Step 4: Simplify right side
    1,429.08x = 1,492,847.01
  5. Step 5: Solve for x
    x = 1,492,847.01/1,429.08
  6. Step 6: Final answer
    x = 1,044.62

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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.