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Finding the Fourth Proportional to 1,004.78, 1,382.86 and 709.54

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Solution

The fourth proportional to 1,004.78, 1,382.86 and 709.54 is: 976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.78 : 1,382.86 = 709.54 : x
  2. Step 2: Convert to fraction form
    1,004.78/1,382.86 = 709.54/x
  3. Step 3: Cross multiply
    1,004.78x = 1,382.86 × 709.54
  4. Step 4: Simplify right side
    1,004.78x = 981,194.48
  5. Step 5: Solve for x
    x = 981,194.48/1,004.78
  6. Step 6: Final answer
    x = 976.53

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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.