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Finding the Fourth Proportional to 1,202.67, 1,804.31 and 336.98

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Solution

The fourth proportional to 1,202.67, 1,804.31 and 336.98 is: 505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.67 : 1,804.31 = 336.98 : x
  2. Step 2: Convert to fraction form
    1,202.67/1,804.31 = 336.98/x
  3. Step 3: Cross multiply
    1,202.67x = 1,804.31 × 336.98
  4. Step 4: Simplify right side
    1,202.67x = 608,021.74
  5. Step 5: Solve for x
    x = 608,021.74/1,202.67
  6. Step 6: Final answer
    x = 505.56

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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.