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Finding the Fourth Proportional to 1,309.56, 1,964.34 and 443.88

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Solution

The fourth proportional to 1,309.56, 1,964.34 and 443.88 is: 665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.56 : 1,964.34 = 443.88 : x
  2. Step 2: Convert to fraction form
    1,309.56/1,964.34 = 443.88/x
  3. Step 3: Cross multiply
    1,309.56x = 1,964.34 × 443.88
  4. Step 4: Simplify right side
    1,309.56x = 871,931.24
  5. Step 5: Solve for x
    x = 871,931.24/1,309.56
  6. Step 6: Final answer
    x = 665.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.