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Finding the Fourth Proportional to 1,520.45, 2,281.58 and 546.62

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Solution

The fourth proportional to 1,520.45, 2,281.58 and 546.62 is: 820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.45 : 2,281.58 = 546.62 : x
  2. Step 2: Convert to fraction form
    1,520.45/2,281.58 = 546.62/x
  3. Step 3: Cross multiply
    1,520.45x = 2,281.58 × 546.62
  4. Step 4: Simplify right side
    1,520.45x = 1,247,162.28
  5. Step 5: Solve for x
    x = 1,247,162.28/1,520.45
  6. Step 6: Final answer
    x = 820.26

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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.