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Finding the Fourth Proportional to 1,058.97, 1,584.77 and 935.04

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Solution

The fourth proportional to 1,058.97, 1,584.77 and 935.04 is: 1,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.97 : 1,584.77 = 935.04 : x
  2. Step 2: Convert to fraction form
    1,058.97/1,584.77 = 935.04/x
  3. Step 3: Cross multiply
    1,058.97x = 1,584.77 × 935.04
  4. Step 4: Simplify right side
    1,058.97x = 1,481,824.61
  5. Step 5: Solve for x
    x = 1,481,824.61/1,058.97
  6. Step 6: Final answer
    x = 1,399.30

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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.