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Finding the Fourth Proportional to 1,508.11, 2,261.62 and 520.68

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Solution

The fourth proportional to 1,508.11, 2,261.62 and 520.68 is: 780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.11 : 2,261.62 = 520.68 : x
  2. Step 2: Convert to fraction form
    1,508.11/2,261.62 = 520.68/x
  3. Step 3: Cross multiply
    1,508.11x = 2,261.62 × 520.68
  4. Step 4: Simplify right side
    1,508.11x = 1,177,574.52
  5. Step 5: Solve for x
    x = 1,177,574.52/1,508.11
  6. Step 6: Final answer
    x = 780.83

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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.