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Finding the Fourth Proportional to 1,042.83, 1,563.03 and 579.78

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Solution

The fourth proportional to 1,042.83, 1,563.03 and 579.78 is: 868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.83 : 1,563.03 = 579.78 : x
  2. Step 2: Convert to fraction form
    1,042.83/1,563.03 = 579.78/x
  3. Step 3: Cross multiply
    1,042.83x = 1,563.03 × 579.78
  4. Step 4: Simplify right side
    1,042.83x = 906,213.53
  5. Step 5: Solve for x
    x = 906,213.53/1,042.83
  6. Step 6: Final answer
    x = 868.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.