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Finding the Fourth Proportional to 1,021.03, 1,409.01 and 578.92

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Solution

The fourth proportional to 1,021.03, 1,409.01 and 578.92 is: 798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.03 : 1,409.01 = 578.92 : x
  2. Step 2: Convert to fraction form
    1,021.03/1,409.01 = 578.92/x
  3. Step 3: Cross multiply
    1,021.03x = 1,409.01 × 578.92
  4. Step 4: Simplify right side
    1,021.03x = 815,704.07
  5. Step 5: Solve for x
    x = 815,704.07/1,021.03
  6. Step 6: Final answer
    x = 798.90

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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.