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Finding the Fourth Proportional to 1,309.10, 1,963.62 and 335.12

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Solution

The fourth proportional to 1,309.10, 1,963.62 and 335.12 is: 502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.10 : 1,963.62 = 335.12 : x
  2. Step 2: Convert to fraction form
    1,309.10/1,963.62 = 335.12/x
  3. Step 3: Cross multiply
    1,309.10x = 1,963.62 × 335.12
  4. Step 4: Simplify right side
    1,309.10x = 658,048.33
  5. Step 5: Solve for x
    x = 658,048.33/1,309.10
  6. Step 6: Final answer
    x = 502.67

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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.