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Finding the Fourth Proportional to 1,058.82, 1,450.49 and 1,046.97

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Solution

The fourth proportional to 1,058.82, 1,450.49 and 1,046.97 is: 1,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.82 : 1,450.49 = 1,046.97 : x
  2. Step 2: Convert to fraction form
    1,058.82/1,450.49 = 1,046.97/x
  3. Step 3: Cross multiply
    1,058.82x = 1,450.49 × 1,046.97
  4. Step 4: Simplify right side
    1,058.82x = 1,518,614.28
  5. Step 5: Solve for x
    x = 1,518,614.28/1,058.82
  6. Step 6: Final answer
    x = 1,434.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.