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Finding the Fourth Proportional to 1,021.48, 1,409.37 and 579.25

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Solution

The fourth proportional to 1,021.48, 1,409.37 and 579.25 is: 799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.48 : 1,409.37 = 579.25 : x
  2. Step 2: Convert to fraction form
    1,021.48/1,409.37 = 579.25/x
  3. Step 3: Cross multiply
    1,021.48x = 1,409.37 × 579.25
  4. Step 4: Simplify right side
    1,021.48x = 816,377.57
  5. Step 5: Solve for x
    x = 816,377.57/1,021.48
  6. Step 6: Final answer
    x = 799.21

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