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Finding the Fourth Proportional to 1,058.43, 1,586.73 and 509.86

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Solution

The fourth proportional to 1,058.43, 1,586.73 and 509.86 is: 764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.43 : 1,586.73 = 509.86 : x
  2. Step 2: Convert to fraction form
    1,058.43/1,586.73 = 509.86/x
  3. Step 3: Cross multiply
    1,058.43x = 1,586.73 × 509.86
  4. Step 4: Simplify right side
    1,058.43x = 809,014.05
  5. Step 5: Solve for x
    x = 809,014.05/1,058.43
  6. Step 6: Final answer
    x = 764.35

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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.