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Finding the Fourth Proportional to 1,021.34, 1,409.62 and 579.50

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Solution

The fourth proportional to 1,021.34, 1,409.62 and 579.50 is: 799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.34 : 1,409.62 = 579.50 : x
  2. Step 2: Convert to fraction form
    1,021.34/1,409.62 = 579.50/x
  3. Step 3: Cross multiply
    1,021.34x = 1,409.62 × 579.50
  4. Step 4: Simplify right side
    1,021.34x = 816,874.79
  5. Step 5: Solve for x
    x = 816,874.79/1,021.34
  6. Step 6: Final answer
    x = 799.81

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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.