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Finding the Fourth Proportional to 1,254.97, 1,881.81 and 735.09

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Solution

The fourth proportional to 1,254.97, 1,881.81 and 735.09 is: 1,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.97 : 1,881.81 = 735.09 : x
  2. Step 2: Convert to fraction form
    1,254.97/1,881.81 = 735.09/x
  3. Step 3: Cross multiply
    1,254.97x = 1,881.81 × 735.09
  4. Step 4: Simplify right side
    1,254.97x = 1,383,299.71
  5. Step 5: Solve for x
    x = 1,383,299.71/1,254.97
  6. Step 6: Final answer
    x = 1,102.26

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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.