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Finding the Fourth Proportional to 1,369.43, 2,053.04 and 547.48

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Solution

The fourth proportional to 1,369.43, 2,053.04 and 547.48 is: 820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.43 : 2,053.04 = 547.48 : x
  2. Step 2: Convert to fraction form
    1,369.43/2,053.04 = 547.48/x
  3. Step 3: Cross multiply
    1,369.43x = 2,053.04 × 547.48
  4. Step 4: Simplify right side
    1,369.43x = 1,123,998.34
  5. Step 5: Solve for x
    x = 1,123,998.34/1,369.43
  6. Step 6: Final answer
    x = 820.78

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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.