Home / 1,058.27-1,584.66-905.18

Finding the Fourth Proportional to 1,058.27, 1,584.66 and 905.18

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Solution

The fourth proportional to 1,058.27, 1,584.66 and 905.18 is: 1,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.27 : 1,584.66 = 905.18 : x
  2. Step 2: Convert to fraction form
    1,058.27/1,584.66 = 905.18/x
  3. Step 3: Cross multiply
    1,058.27x = 1,584.66 × 905.18
  4. Step 4: Simplify right side
    1,058.27x = 1,434,398.01
  5. Step 5: Solve for x
    x = 1,434,398.01/1,058.27
  6. Step 6: Final answer
    x = 1,355.42

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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.