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Finding the Fourth Proportional to 1,494.52, 2,241.80 and 520.63

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Solution

The fourth proportional to 1,494.52, 2,241.80 and 520.63 is: 780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.52 : 2,241.80 = 520.63 : x
  2. Step 2: Convert to fraction form
    1,494.52/2,241.80 = 520.63/x
  3. Step 3: Cross multiply
    1,494.52x = 2,241.80 × 520.63
  4. Step 4: Simplify right side
    1,494.52x = 1,167,148.33
  5. Step 5: Solve for x
    x = 1,167,148.33/1,494.52
  6. Step 6: Final answer
    x = 780.95

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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.