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Finding the Fourth Proportional to 1,431.29, 1,975.35 and 872.09

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Solution

The fourth proportional to 1,431.29, 1,975.35 and 872.09 is: 1,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.29 : 1,975.35 = 872.09 : x
  2. Step 2: Convert to fraction form
    1,431.29/1,975.35 = 872.09/x
  3. Step 3: Cross multiply
    1,431.29x = 1,975.35 × 872.09
  4. Step 4: Simplify right side
    1,431.29x = 1,722,668.74
  5. Step 5: Solve for x
    x = 1,722,668.74/1,431.29
  6. Step 6: Final answer
    x = 1,203.58

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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.