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Finding the Fourth Proportional to 1,003.26, 1,384.09 and 708.42

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Solution

The fourth proportional to 1,003.26, 1,384.09 and 708.42 is: 977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.26 : 1,384.09 = 708.42 : x
  2. Step 2: Convert to fraction form
    1,003.26/1,384.09 = 708.42/x
  3. Step 3: Cross multiply
    1,003.26x = 1,384.09 × 708.42
  4. Step 4: Simplify right side
    1,003.26x = 980,517.04
  5. Step 5: Solve for x
    x = 980,517.04/1,003.26
  6. Step 6: Final answer
    x = 977.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.