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Finding the Fourth Proportional to 1,021.79, 1,409.93 and 579.73

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Solution

The fourth proportional to 1,021.79, 1,409.93 and 579.73 is: 799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.79 : 1,409.93 = 579.73 : x
  2. Step 2: Convert to fraction form
    1,021.79/1,409.93 = 579.73/x
  3. Step 3: Cross multiply
    1,021.79x = 1,409.93 × 579.73
  4. Step 4: Simplify right side
    1,021.79x = 817,378.72
  5. Step 5: Solve for x
    x = 817,378.72/1,021.79
  6. Step 6: Final answer
    x = 799.95

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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.