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Finding the Fourth Proportional to 750.54, 1,029.26 and 744.78

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Solution

The fourth proportional to 750.54, 1,029.26 and 744.78 is: 1,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.54 : 1,029.26 = 744.78 : x
  2. Step 2: Convert to fraction form
    750.54/1,029.26 = 744.78/x
  3. Step 3: Cross multiply
    750.54x = 1,029.26 × 744.78
  4. Step 4: Simplify right side
    750.54x = 766,568.54
  5. Step 5: Solve for x
    x = 766,568.54/750.54
  6. Step 6: Final answer
    x = 1,021.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.