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Finding the Fourth Proportional to 1,306.83, 1,960.10 and 441.15

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Solution

The fourth proportional to 1,306.83, 1,960.10 and 441.15 is: 661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.83 : 1,960.10 = 441.15 : x
  2. Step 2: Convert to fraction form
    1,306.83/1,960.10 = 441.15/x
  3. Step 3: Cross multiply
    1,306.83x = 1,960.10 × 441.15
  4. Step 4: Simplify right side
    1,306.83x = 864,690.21
  5. Step 5: Solve for x
    x = 864,690.21/1,306.83
  6. Step 6: Final answer
    x = 661.67

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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.