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Finding the Fourth Proportional to 1,058.15, 1,586.69 and 327.63

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Solution

The fourth proportional to 1,058.15, 1,586.69 and 327.63 is: 491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.15 : 1,586.69 = 327.63 : x
  2. Step 2: Convert to fraction form
    1,058.15/1,586.69 = 327.63/x
  3. Step 3: Cross multiply
    1,058.15x = 1,586.69 × 327.63
  4. Step 4: Simplify right side
    1,058.15x = 519,847.24
  5. Step 5: Solve for x
    x = 519,847.24/1,058.15
  6. Step 6: Final answer
    x = 491.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.