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Finding the Fourth Proportional to 1,020.54, 1,408.32 and 578.44

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Solution

The fourth proportional to 1,020.54, 1,408.32 and 578.44 is: 798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.54 : 1,408.32 = 578.44 : x
  2. Step 2: Convert to fraction form
    1,020.54/1,408.32 = 578.44/x
  3. Step 3: Cross multiply
    1,020.54x = 1,408.32 × 578.44
  4. Step 4: Simplify right side
    1,020.54x = 814,628.62
  5. Step 5: Solve for x
    x = 814,628.62/1,020.54
  6. Step 6: Final answer
    x = 798.23

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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.