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Finding the Fourth Proportional to 1,520.50, 2,280.36 and 546.61

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Solution

The fourth proportional to 1,520.50, 2,280.36 and 546.61 is: 819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.50 : 2,280.36 = 546.61 : x
  2. Step 2: Convert to fraction form
    1,520.50/2,280.36 = 546.61/x
  3. Step 3: Cross multiply
    1,520.50x = 2,280.36 × 546.61
  4. Step 4: Simplify right side
    1,520.50x = 1,246,467.58
  5. Step 5: Solve for x
    x = 1,246,467.58/1,520.50
  6. Step 6: Final answer
    x = 819.77

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Why These Related Problems?

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