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Finding the Fourth Proportional to 750.27, 1,125.47 and 202.44

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Solution

The fourth proportional to 750.27, 1,125.47 and 202.44 is: 303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.27 : 1,125.47 = 202.44 : x
  2. Step 2: Convert to fraction form
    750.27/1,125.47 = 202.44/x
  3. Step 3: Cross multiply
    750.27x = 1,125.47 × 202.44
  4. Step 4: Simplify right side
    750.27x = 227,843.85
  5. Step 5: Solve for x
    x = 227,843.85/750.27
  6. Step 6: Final answer
    x = 303.68

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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.