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Finding the Fourth Proportional to 1,014.79, 1,520.99 and 458.85

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Solution

The fourth proportional to 1,014.79, 1,520.99 and 458.85 is: 687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.79 : 1,520.99 = 458.85 : x
  2. Step 2: Convert to fraction form
    1,014.79/1,520.99 = 458.85/x
  3. Step 3: Cross multiply
    1,014.79x = 1,520.99 × 458.85
  4. Step 4: Simplify right side
    1,014.79x = 697,906.26
  5. Step 5: Solve for x
    x = 697,906.26/1,014.79
  6. Step 6: Final answer
    x = 687.73

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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.