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Finding the Fourth Proportional to 1,630.73, 2,446.40 and 535.41

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Solution

The fourth proportional to 1,630.73, 2,446.40 and 535.41 is: 803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.73 : 2,446.40 = 535.41 : x
  2. Step 2: Convert to fraction form
    1,630.73/2,446.40 = 535.41/x
  3. Step 3: Cross multiply
    1,630.73x = 2,446.40 × 535.41
  4. Step 4: Simplify right side
    1,630.73x = 1,309,812.11
  5. Step 5: Solve for x
    x = 1,309,812.11/1,630.73
  6. Step 6: Final answer
    x = 803.21

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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.