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Finding the Fourth Proportional to 1,024.36, 1,536.75 and 321.55

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Solution

The fourth proportional to 1,024.36, 1,536.75 and 321.55 is: 482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.36 : 1,536.75 = 321.55 : x
  2. Step 2: Convert to fraction form
    1,024.36/1,536.75 = 321.55/x
  3. Step 3: Cross multiply
    1,024.36x = 1,536.75 × 321.55
  4. Step 4: Simplify right side
    1,024.36x = 494,138.12
  5. Step 5: Solve for x
    x = 494,138.12/1,024.36
  6. Step 6: Final answer
    x = 482.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.