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Finding the Fourth Proportional to 905.24, 1,357.83 and 539.22

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Solution

The fourth proportional to 905.24, 1,357.83 and 539.22 is: 808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.24 : 1,357.83 = 539.22 : x
  2. Step 2: Convert to fraction form
    905.24/1,357.83 = 539.22/x
  3. Step 3: Cross multiply
    905.24x = 1,357.83 × 539.22
  4. Step 4: Simplify right side
    905.24x = 732,174.18
  5. Step 5: Solve for x
    x = 732,174.18/905.24
  6. Step 6: Final answer
    x = 808.82

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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.