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Finding the Fourth Proportional to 1,020.48, 1,408.26 and 578.46

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Solution

The fourth proportional to 1,020.48, 1,408.26 and 578.46 is: 798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.48 : 1,408.26 = 578.46 : x
  2. Step 2: Convert to fraction form
    1,020.48/1,408.26 = 578.46/x
  3. Step 3: Cross multiply
    1,020.48x = 1,408.26 × 578.46
  4. Step 4: Simplify right side
    1,020.48x = 814,622.08
  5. Step 5: Solve for x
    x = 814,622.08/1,020.48
  6. Step 6: Final answer
    x = 798.27

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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.