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Finding the Fourth Proportional to 1,345.78, 2,019.59 and 480.09

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Solution

The fourth proportional to 1,345.78, 2,019.59 and 480.09 is: 720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.78 : 2,019.59 = 480.09 : x
  2. Step 2: Convert to fraction form
    1,345.78/2,019.59 = 480.09/x
  3. Step 3: Cross multiply
    1,345.78x = 2,019.59 × 480.09
  4. Step 4: Simplify right side
    1,345.78x = 969,591.94
  5. Step 5: Solve for x
    x = 969,591.94/1,345.78
  6. Step 6: Final answer
    x = 720.47

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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.