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Finding the Fourth Proportional to 1,313.65, 1,967.63 and 824.31

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Solution

The fourth proportional to 1,313.65, 1,967.63 and 824.31 is: 1,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.65 : 1,967.63 = 824.31 : x
  2. Step 2: Convert to fraction form
    1,313.65/1,967.63 = 824.31/x
  3. Step 3: Cross multiply
    1,313.65x = 1,967.63 × 824.31
  4. Step 4: Simplify right side
    1,313.65x = 1,621,932.96
  5. Step 5: Solve for x
    x = 1,621,932.96/1,313.65
  6. Step 6: Final answer
    x = 1,234.68

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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.