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Finding the Fourth Proportional to 1,520.65, 2,280.97 and 546.05

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Solution

The fourth proportional to 1,520.65, 2,280.97 and 546.05 is: 819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.65 : 2,280.97 = 546.05 : x
  2. Step 2: Convert to fraction form
    1,520.65/2,280.97 = 546.05/x
  3. Step 3: Cross multiply
    1,520.65x = 2,280.97 × 546.05
  4. Step 4: Simplify right side
    1,520.65x = 1,245,512.26
  5. Step 5: Solve for x
    x = 1,245,512.26/1,520.65
  6. Step 6: Final answer
    x = 819.07

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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.