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Finding the Fourth Proportional to 1,227.13, 1,840.23 and 534.13

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Solution

The fourth proportional to 1,227.13, 1,840.23 and 534.13 is: 800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.13 : 1,840.23 = 534.13 : x
  2. Step 2: Convert to fraction form
    1,227.13/1,840.23 = 534.13/x
  3. Step 3: Cross multiply
    1,227.13x = 1,840.23 × 534.13
  4. Step 4: Simplify right side
    1,227.13x = 982,922.05
  5. Step 5: Solve for x
    x = 982,922.05/1,227.13
  6. Step 6: Final answer
    x = 800.99

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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.