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Finding the Fourth Proportional to 1,520.73, 2,281.09 and 546.90

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Solution

The fourth proportional to 1,520.73, 2,281.09 and 546.90 is: 820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.73 : 2,281.09 = 546.90 : x
  2. Step 2: Convert to fraction form
    1,520.73/2,281.09 = 546.90/x
  3. Step 3: Cross multiply
    1,520.73x = 2,281.09 × 546.90
  4. Step 4: Simplify right side
    1,520.73x = 1,247,528.12
  5. Step 5: Solve for x
    x = 1,247,528.12/1,520.73
  6. Step 6: Final answer
    x = 820.35

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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.