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Finding the Fourth Proportional to 1,310.13, 1,964.70 and 660.42

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Solution

The fourth proportional to 1,310.13, 1,964.70 and 660.42 is: 990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.13 : 1,964.70 = 660.42 : x
  2. Step 2: Convert to fraction form
    1,310.13/1,964.70 = 660.42/x
  3. Step 3: Cross multiply
    1,310.13x = 1,964.70 × 660.42
  4. Step 4: Simplify right side
    1,310.13x = 1,297,527.17
  5. Step 5: Solve for x
    x = 1,297,527.17/1,310.13
  6. Step 6: Final answer
    x = 990.38

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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.