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Finding the Fourth Proportional to 1,202.98, 1,804.57 and 337.29

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Solution

The fourth proportional to 1,202.98, 1,804.57 and 337.29 is: 505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.98 : 1,804.57 = 337.29 : x
  2. Step 2: Convert to fraction form
    1,202.98/1,804.57 = 337.29/x
  3. Step 3: Cross multiply
    1,202.98x = 1,804.57 × 337.29
  4. Step 4: Simplify right side
    1,202.98x = 608,660.41
  5. Step 5: Solve for x
    x = 608,660.41/1,202.98
  6. Step 6: Final answer
    x = 505.96

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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.