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Finding the Fourth Proportional to 1,058.06, 1,586.99 and 509.90

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Solution

The fourth proportional to 1,058.06, 1,586.99 and 509.90 is: 764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.06 : 1,586.99 = 509.90 : x
  2. Step 2: Convert to fraction form
    1,058.06/1,586.99 = 509.90/x
  3. Step 3: Cross multiply
    1,058.06x = 1,586.99 × 509.90
  4. Step 4: Simplify right side
    1,058.06x = 809,199.54
  5. Step 5: Solve for x
    x = 809,199.54/1,058.06
  6. Step 6: Final answer
    x = 764.79

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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.