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Finding the Fourth Proportional to 1,035.73, 1,427.73 and 814.30

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Solution

The fourth proportional to 1,035.73, 1,427.73 and 814.30 is: 1,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.73 : 1,427.73 = 814.30 : x
  2. Step 2: Convert to fraction form
    1,035.73/1,427.73 = 814.30/x
  3. Step 3: Cross multiply
    1,035.73x = 1,427.73 × 814.30
  4. Step 4: Simplify right side
    1,035.73x = 1,162,593.40
  5. Step 5: Solve for x
    x = 1,162,593.40/1,035.73
  6. Step 6: Final answer
    x = 1,122.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.