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Finding the Fourth Proportional to 1,432, 1,975.66 and 872.29

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Solution

The fourth proportional to 1,432, 1,975.66 and 872.29 is: 1,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432 : 1,975.66 = 872.29 : x
  2. Step 2: Convert to fraction form
    1,432/1,975.66 = 872.29/x
  3. Step 3: Cross multiply
    1,432x = 1,975.66 × 872.29
  4. Step 4: Simplify right side
    1,432x = 1,723,348.46
  5. Step 5: Solve for x
    x = 1,723,348.46/1,432
  6. Step 6: Final answer
    x = 1,203.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.