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Finding the Fourth Proportional to 1,202.31, 1,803.54 and 336.69

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Solution

The fourth proportional to 1,202.31, 1,803.54 and 336.69 is: 505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.31 : 1,803.54 = 336.69 : x
  2. Step 2: Convert to fraction form
    1,202.31/1,803.54 = 336.69/x
  3. Step 3: Cross multiply
    1,202.31x = 1,803.54 × 336.69
  4. Step 4: Simplify right side
    1,202.31x = 607,233.88
  5. Step 5: Solve for x
    x = 607,233.88/1,202.31
  6. Step 6: Final answer
    x = 505.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.