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Finding the Fourth Proportional to 1,313.65, 1,971.68 and 664.84

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Solution

The fourth proportional to 1,313.65, 1,971.68 and 664.84 is: 997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.65 : 1,971.68 = 664.84 : x
  2. Step 2: Convert to fraction form
    1,313.65/1,971.68 = 664.84/x
  3. Step 3: Cross multiply
    1,313.65x = 1,971.68 × 664.84
  4. Step 4: Simplify right side
    1,313.65x = 1,310,851.73
  5. Step 5: Solve for x
    x = 1,310,851.73/1,313.65
  6. Step 6: Final answer
    x = 997.87

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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.