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Finding the Fourth Proportional to 1,254.37, 1,881.69 and 432.54

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Solution

The fourth proportional to 1,254.37, 1,881.69 and 432.54 is: 648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.37 : 1,881.69 = 432.54 : x
  2. Step 2: Convert to fraction form
    1,254.37/1,881.69 = 432.54/x
  3. Step 3: Cross multiply
    1,254.37x = 1,881.69 × 432.54
  4. Step 4: Simplify right side
    1,254.37x = 813,906.19
  5. Step 5: Solve for x
    x = 813,906.19/1,254.37
  6. Step 6: Final answer
    x = 648.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.