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Finding the Fourth Proportional to 851.20, 1,174.27 and 536.25

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Solution

The fourth proportional to 851.20, 1,174.27 and 536.25 is: 739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.20 : 1,174.27 = 536.25 : x
  2. Step 2: Convert to fraction form
    851.20/1,174.27 = 536.25/x
  3. Step 3: Cross multiply
    851.20x = 1,174.27 × 536.25
  4. Step 4: Simplify right side
    851.20x = 629,696.42
  5. Step 5: Solve for x
    x = 629,696.42/851.20
  6. Step 6: Final answer
    x = 739.77

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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.