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Finding the Fourth Proportional to 1,324.27, 1,984.37 and 708.06

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Solution

The fourth proportional to 1,324.27, 1,984.37 and 708.06 is: 1,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.27 : 1,984.37 = 708.06 : x
  2. Step 2: Convert to fraction form
    1,324.27/1,984.37 = 708.06/x
  3. Step 3: Cross multiply
    1,324.27x = 1,984.37 × 708.06
  4. Step 4: Simplify right side
    1,324.27x = 1,405,053.02
  5. Step 5: Solve for x
    x = 1,405,053.02/1,324.27
  6. Step 6: Final answer
    x = 1,061.01

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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.