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Finding the Fourth Proportional to 1,264.77, 1,893.92 and 1,058.22

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Solution

The fourth proportional to 1,264.77, 1,893.92 and 1,058.22 is: 1,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.77 : 1,893.92 = 1,058.22 : x
  2. Step 2: Convert to fraction form
    1,264.77/1,893.92 = 1,058.22/x
  3. Step 3: Cross multiply
    1,264.77x = 1,893.92 × 1,058.22
  4. Step 4: Simplify right side
    1,264.77x = 2,004,178.73
  5. Step 5: Solve for x
    x = 2,004,178.73/1,264.77
  6. Step 6: Final answer
    x = 1,584.62

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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.