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Finding the Fourth Proportional to 1,021.32, 1,409.63 and 579.29

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Solution

The fourth proportional to 1,021.32, 1,409.63 and 579.29 is: 799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.32 : 1,409.63 = 579.29 : x
  2. Step 2: Convert to fraction form
    1,021.32/1,409.63 = 579.29/x
  3. Step 3: Cross multiply
    1,021.32x = 1,409.63 × 579.29
  4. Step 4: Simplify right side
    1,021.32x = 816,574.62
  5. Step 5: Solve for x
    x = 816,574.62/1,021.32
  6. Step 6: Final answer
    x = 799.53

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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.