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Finding the Fourth Proportional to 1,058.20, 1,586.67 and 441.16

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Solution

The fourth proportional to 1,058.20, 1,586.67 and 441.16 is: 661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.20 : 1,586.67 = 441.16 : x
  2. Step 2: Convert to fraction form
    1,058.20/1,586.67 = 441.16/x
  3. Step 3: Cross multiply
    1,058.20x = 1,586.67 × 441.16
  4. Step 4: Simplify right side
    1,058.20x = 699,975.34
  5. Step 5: Solve for x
    x = 699,975.34/1,058.20
  6. Step 6: Final answer
    x = 661.48

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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.