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Finding the Fourth Proportional to 1,254.57, 1,731.45 and 905.46

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Solution

The fourth proportional to 1,254.57, 1,731.45 and 905.46 is: 1,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.57 : 1,731.45 = 905.46 : x
  2. Step 2: Convert to fraction form
    1,254.57/1,731.45 = 905.46/x
  3. Step 3: Cross multiply
    1,254.57x = 1,731.45 × 905.46
  4. Step 4: Simplify right side
    1,254.57x = 1,567,758.72
  5. Step 5: Solve for x
    x = 1,567,758.72/1,254.57
  6. Step 6: Final answer
    x = 1,249.64

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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.