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Finding the Fourth Proportional to 1,431.57, 1,976.05 and 872.07

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Solution

The fourth proportional to 1,431.57, 1,976.05 and 872.07 is: 1,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.57 : 1,976.05 = 872.07 : x
  2. Step 2: Convert to fraction form
    1,431.57/1,976.05 = 872.07/x
  3. Step 3: Cross multiply
    1,431.57x = 1,976.05 × 872.07
  4. Step 4: Simplify right side
    1,431.57x = 1,723,242.70
  5. Step 5: Solve for x
    x = 1,723,242.70/1,431.57
  6. Step 6: Final answer
    x = 1,203.74

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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.