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Finding the Fourth Proportional to 1,219.98, 1,828.37 and 490.06

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Solution

The fourth proportional to 1,219.98, 1,828.37 and 490.06 is: 734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.98 : 1,828.37 = 490.06 : x
  2. Step 2: Convert to fraction form
    1,219.98/1,828.37 = 490.06/x
  3. Step 3: Cross multiply
    1,219.98x = 1,828.37 × 490.06
  4. Step 4: Simplify right side
    1,219.98x = 896,008.55
  5. Step 5: Solve for x
    x = 896,008.55/1,219.98
  6. Step 6: Final answer
    x = 734.45

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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.