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Finding the Fourth Proportional to 1,224.98, 1,837.79 and 359.30

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Solution

The fourth proportional to 1,224.98, 1,837.79 and 359.30 is: 539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.98 : 1,837.79 = 359.30 : x
  2. Step 2: Convert to fraction form
    1,224.98/1,837.79 = 359.30/x
  3. Step 3: Cross multiply
    1,224.98x = 1,837.79 × 359.30
  4. Step 4: Simplify right side
    1,224.98x = 660,311.75
  5. Step 5: Solve for x
    x = 660,311.75/1,224.98
  6. Step 6: Final answer
    x = 539.04

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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.