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Finding the Fourth Proportional to 1,020.45, 1,408.25 and 578.36

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Solution

The fourth proportional to 1,020.45, 1,408.25 and 578.36 is: 798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.45 : 1,408.25 = 578.36 : x
  2. Step 2: Convert to fraction form
    1,020.45/1,408.25 = 578.36/x
  3. Step 3: Cross multiply
    1,020.45x = 1,408.25 × 578.36
  4. Step 4: Simplify right side
    1,020.45x = 814,465.54
  5. Step 5: Solve for x
    x = 814,465.54/1,020.45
  6. Step 6: Final answer
    x = 798.14

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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.