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Finding the Fourth Proportional to 1,020.83, 1,408.77 and 578.70

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Solution

The fourth proportional to 1,020.83, 1,408.77 and 578.70 is: 798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.83 : 1,408.77 = 578.70 : x
  2. Step 2: Convert to fraction form
    1,020.83/1,408.77 = 578.70/x
  3. Step 3: Cross multiply
    1,020.83x = 1,408.77 × 578.70
  4. Step 4: Simplify right side
    1,020.83x = 815,255.20
  5. Step 5: Solve for x
    x = 815,255.20/1,020.83
  6. Step 6: Final answer
    x = 798.62

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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.