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Finding the Fourth Proportional to 1,480.37, 2,219.54 and 739.04

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Solution

The fourth proportional to 1,480.37, 2,219.54 and 739.04 is: 1,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.37 : 2,219.54 = 739.04 : x
  2. Step 2: Convert to fraction form
    1,480.37/2,219.54 = 739.04/x
  3. Step 3: Cross multiply
    1,480.37x = 2,219.54 × 739.04
  4. Step 4: Simplify right side
    1,480.37x = 1,640,317.74
  5. Step 5: Solve for x
    x = 1,640,317.74/1,480.37
  6. Step 6: Final answer
    x = 1,108.05

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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.