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Finding the Fourth Proportional to 1,520.99, 2,281.49 and 425.22

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Solution

The fourth proportional to 1,520.99, 2,281.49 and 425.22 is: 637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.99 : 2,281.49 = 425.22 : x
  2. Step 2: Convert to fraction form
    1,520.99/2,281.49 = 425.22/x
  3. Step 3: Cross multiply
    1,520.99x = 2,281.49 × 425.22
  4. Step 4: Simplify right side
    1,520.99x = 970,133.05
  5. Step 5: Solve for x
    x = 970,133.05/1,520.99
  6. Step 6: Final answer
    x = 637.83

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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.