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Finding the Fourth Proportional to 1,309.77, 1,964.67 and 335.85

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Solution

The fourth proportional to 1,309.77, 1,964.67 and 335.85 is: 503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.77 : 1,964.67 = 335.85 : x
  2. Step 2: Convert to fraction form
    1,309.77/1,964.67 = 335.85/x
  3. Step 3: Cross multiply
    1,309.77x = 1,964.67 × 335.85
  4. Step 4: Simplify right side
    1,309.77x = 659,834.42
  5. Step 5: Solve for x
    x = 659,834.42/1,309.77
  6. Step 6: Final answer
    x = 503.78

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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.