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Finding the Fourth Proportional to 1,444.26, 2,165.08 and 519.60

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Solution

The fourth proportional to 1,444.26, 2,165.08 and 519.60 is: 778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.26 : 2,165.08 = 519.60 : x
  2. Step 2: Convert to fraction form
    1,444.26/2,165.08 = 519.60/x
  3. Step 3: Cross multiply
    1,444.26x = 2,165.08 × 519.60
  4. Step 4: Simplify right side
    1,444.26x = 1,124,975.57
  5. Step 5: Solve for x
    x = 1,124,975.57/1,444.26
  6. Step 6: Final answer
    x = 778.93

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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.