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Finding the Fourth Proportional to 1,020.57, 1,408.49 and 578.55

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Solution

The fourth proportional to 1,020.57, 1,408.49 and 578.55 is: 798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.57 : 1,408.49 = 578.55 : x
  2. Step 2: Convert to fraction form
    1,020.57/1,408.49 = 578.55/x
  3. Step 3: Cross multiply
    1,020.57x = 1,408.49 × 578.55
  4. Step 4: Simplify right side
    1,020.57x = 814,879.00
  5. Step 5: Solve for x
    x = 814,879.00/1,020.57
  6. Step 6: Final answer
    x = 798.45

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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.