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Finding the Fourth Proportional to 1,324.17, 1,986.21 and 458.55

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Solution

The fourth proportional to 1,324.17, 1,986.21 and 458.55 is: 687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.17 : 1,986.21 = 458.55 : x
  2. Step 2: Convert to fraction form
    1,324.17/1,986.21 = 458.55/x
  3. Step 3: Cross multiply
    1,324.17x = 1,986.21 × 458.55
  4. Step 4: Simplify right side
    1,324.17x = 910,776.60
  5. Step 5: Solve for x
    x = 910,776.60/1,324.17
  6. Step 6: Final answer
    x = 687.81

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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.