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Finding the Fourth Proportional to 800.05, 1,104.26 and 534.51

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Solution

The fourth proportional to 800.05, 1,104.26 and 534.51 is: 737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.05 : 1,104.26 = 534.51 : x
  2. Step 2: Convert to fraction form
    800.05/1,104.26 = 534.51/x
  3. Step 3: Cross multiply
    800.05x = 1,104.26 × 534.51
  4. Step 4: Simplify right side
    800.05x = 590,238.01
  5. Step 5: Solve for x
    x = 590,238.01/800.05
  6. Step 6: Final answer
    x = 737.75

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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.