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Finding the Fourth Proportional to 1,020.96, 1,408.82 and 578.90

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Solution

The fourth proportional to 1,020.96, 1,408.82 and 578.90 is: 798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.96 : 1,408.82 = 578.90 : x
  2. Step 2: Convert to fraction form
    1,020.96/1,408.82 = 578.90/x
  3. Step 3: Cross multiply
    1,020.96x = 1,408.82 × 578.90
  4. Step 4: Simplify right side
    1,020.96x = 815,565.90
  5. Step 5: Solve for x
    x = 815,565.90/1,020.96
  6. Step 6: Final answer
    x = 798.82

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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.