Home / 1,058.24-1,587.36-409.04

Finding the Fourth Proportional to 1,058.24, 1,587.36 and 409.04

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Solution

The fourth proportional to 1,058.24, 1,587.36 and 409.04 is: 613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.24 : 1,587.36 = 409.04 : x
  2. Step 2: Convert to fraction form
    1,058.24/1,587.36 = 409.04/x
  3. Step 3: Cross multiply
    1,058.24x = 1,587.36 × 409.04
  4. Step 4: Simplify right side
    1,058.24x = 649,293.73
  5. Step 5: Solve for x
    x = 649,293.73/1,058.24
  6. Step 6: Final answer
    x = 613.56

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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.