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Finding the Fourth Proportional to 1,202.24, 1,804.44 and 509.42

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Solution

The fourth proportional to 1,202.24, 1,804.44 and 509.42 is: 764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.24 : 1,804.44 = 509.42 : x
  2. Step 2: Convert to fraction form
    1,202.24/1,804.44 = 509.42/x
  3. Step 3: Cross multiply
    1,202.24x = 1,804.44 × 509.42
  4. Step 4: Simplify right side
    1,202.24x = 919,208.80
  5. Step 5: Solve for x
    x = 919,208.80/1,202.24
  6. Step 6: Final answer
    x = 764.58

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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.