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Finding the Fourth Proportional to 1,058.96, 1,588.43 and 409.24

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Solution

The fourth proportional to 1,058.96, 1,588.43 and 409.24 is: 613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.96 : 1,588.43 = 409.24 : x
  2. Step 2: Convert to fraction form
    1,058.96/1,588.43 = 409.24/x
  3. Step 3: Cross multiply
    1,058.96x = 1,588.43 × 409.24
  4. Step 4: Simplify right side
    1,058.96x = 650,049.09
  5. Step 5: Solve for x
    x = 650,049.09/1,058.96
  6. Step 6: Final answer
    x = 613.86

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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.