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Finding the Fourth Proportional to 1,020.56, 1,408.34 and 578.46

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Solution

The fourth proportional to 1,020.56, 1,408.34 and 578.46 is: 798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.56 : 1,408.34 = 578.46 : x
  2. Step 2: Convert to fraction form
    1,020.56/1,408.34 = 578.46/x
  3. Step 3: Cross multiply
    1,020.56x = 1,408.34 × 578.46
  4. Step 4: Simplify right side
    1,020.56x = 814,668.36
  5. Step 5: Solve for x
    x = 814,668.36/1,020.56
  6. Step 6: Final answer
    x = 798.26

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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.