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Finding the Fourth Proportional to 1,431.60, 1,975.63 and 872.09

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Solution

The fourth proportional to 1,431.60, 1,975.63 and 872.09 is: 1,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.60 : 1,975.63 = 872.09 : x
  2. Step 2: Convert to fraction form
    1,431.60/1,975.63 = 872.09/x
  3. Step 3: Cross multiply
    1,431.60x = 1,975.63 × 872.09
  4. Step 4: Simplify right side
    1,431.60x = 1,722,927.17
  5. Step 5: Solve for x
    x = 1,722,927.17/1,431.60
  6. Step 6: Final answer
    x = 1,203.50

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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.