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Finding the Fourth Proportional to 1,021.42, 1,409.57 and 579.35

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Solution

The fourth proportional to 1,021.42, 1,409.57 and 579.35 is: 799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.42 : 1,409.57 = 579.35 : x
  2. Step 2: Convert to fraction form
    1,021.42/1,409.57 = 579.35/x
  3. Step 3: Cross multiply
    1,021.42x = 1,409.57 × 579.35
  4. Step 4: Simplify right side
    1,021.42x = 816,631.48
  5. Step 5: Solve for x
    x = 816,631.48/1,021.42
  6. Step 6: Final answer
    x = 799.51

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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.