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Finding the Fourth Proportional to 1,309.83, 1,965.21 and 617.03

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Solution

The fourth proportional to 1,309.83, 1,965.21 and 617.03 is: 925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.83 : 1,965.21 = 617.03 : x
  2. Step 2: Convert to fraction form
    1,309.83/1,965.21 = 617.03/x
  3. Step 3: Cross multiply
    1,309.83x = 1,965.21 × 617.03
  4. Step 4: Simplify right side
    1,309.83x = 1,212,583.70
  5. Step 5: Solve for x
    x = 1,212,583.70/1,309.83
  6. Step 6: Final answer
    x = 925.76

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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.