Home / 1,021.10-1,409.16-579.01

Finding the Fourth Proportional to 1,021.10, 1,409.16 and 579.01

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Solution

The fourth proportional to 1,021.10, 1,409.16 and 579.01 is: 799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.10 : 1,409.16 = 579.01 : x
  2. Step 2: Convert to fraction form
    1,021.10/1,409.16 = 579.01/x
  3. Step 3: Cross multiply
    1,021.10x = 1,409.16 × 579.01
  4. Step 4: Simplify right side
    1,021.10x = 815,917.73
  5. Step 5: Solve for x
    x = 815,917.73/1,021.10
  6. Step 6: Final answer
    x = 799.06

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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.