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Finding the Fourth Proportional to 1,207.73, 1,810.21 and 513.38

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Solution

The fourth proportional to 1,207.73, 1,810.21 and 513.38 is: 769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.73 : 1,810.21 = 513.38 : x
  2. Step 2: Convert to fraction form
    1,207.73/1,810.21 = 513.38/x
  3. Step 3: Cross multiply
    1,207.73x = 1,810.21 × 513.38
  4. Step 4: Simplify right side
    1,207.73x = 929,325.61
  5. Step 5: Solve for x
    x = 929,325.61/1,207.73
  6. Step 6: Final answer
    x = 769.48

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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.