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Finding the Fourth Proportional to 1,444.73, 2,167.38 and 520.25

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Solution

The fourth proportional to 1,444.73, 2,167.38 and 520.25 is: 780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.73 : 2,167.38 = 520.25 : x
  2. Step 2: Convert to fraction form
    1,444.73/2,167.38 = 520.25/x
  3. Step 3: Cross multiply
    1,444.73x = 2,167.38 × 520.25
  4. Step 4: Simplify right side
    1,444.73x = 1,127,568.61
  5. Step 5: Solve for x
    x = 1,127,568.61/1,444.73
  6. Step 6: Final answer
    x = 780.47

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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.