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Finding the Fourth Proportional to 1,251.92, 1,728.32 and 971.54

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Solution

The fourth proportional to 1,251.92, 1,728.32 and 971.54 is: 1,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.92 : 1,728.32 = 971.54 : x
  2. Step 2: Convert to fraction form
    1,251.92/1,728.32 = 971.54/x
  3. Step 3: Cross multiply
    1,251.92x = 1,728.32 × 971.54
  4. Step 4: Simplify right side
    1,251.92x = 1,679,132.01
  5. Step 5: Solve for x
    x = 1,679,132.01/1,251.92
  6. Step 6: Final answer
    x = 1,341.25

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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.