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Finding the Fourth Proportional to 1,429.04, 2,143.56 and 659.36

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Solution

The fourth proportional to 1,429.04, 2,143.56 and 659.36 is: 989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.04 : 2,143.56 = 659.36 : x
  2. Step 2: Convert to fraction form
    1,429.04/2,143.56 = 659.36/x
  3. Step 3: Cross multiply
    1,429.04x = 2,143.56 × 659.36
  4. Step 4: Simplify right side
    1,429.04x = 1,413,377.72
  5. Step 5: Solve for x
    x = 1,413,377.72/1,429.04
  6. Step 6: Final answer
    x = 989.04

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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.