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Finding the Fourth Proportional to 1,290.21, 1,935.15 and 365.85

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Solution

The fourth proportional to 1,290.21, 1,935.15 and 365.85 is: 548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.21 : 1,935.15 = 365.85 : x
  2. Step 2: Convert to fraction form
    1,290.21/1,935.15 = 365.85/x
  3. Step 3: Cross multiply
    1,290.21x = 1,935.15 × 365.85
  4. Step 4: Simplify right side
    1,290.21x = 707,974.63
  5. Step 5: Solve for x
    x = 707,974.63/1,290.21
  6. Step 6: Final answer
    x = 548.73

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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.