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Finding the Fourth Proportional to 1,313.76, 1,971.24 and 664.16

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Solution

The fourth proportional to 1,313.76, 1,971.24 and 664.16 is: 996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.76 : 1,971.24 = 664.16 : x
  2. Step 2: Convert to fraction form
    1,313.76/1,971.24 = 664.16/x
  3. Step 3: Cross multiply
    1,313.76x = 1,971.24 × 664.16
  4. Step 4: Simplify right side
    1,313.76x = 1,309,218.76
  5. Step 5: Solve for x
    x = 1,309,218.76/1,313.76
  6. Step 6: Final answer
    x = 996.54

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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.