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Finding the Fourth Proportional to 962.94, 1,442.37 and 443.37

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Solution

The fourth proportional to 962.94, 1,442.37 and 443.37 is: 664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.94 : 1,442.37 = 443.37 : x
  2. Step 2: Convert to fraction form
    962.94/1,442.37 = 443.37/x
  3. Step 3: Cross multiply
    962.94x = 1,442.37 × 443.37
  4. Step 4: Simplify right side
    962.94x = 639,503.59
  5. Step 5: Solve for x
    x = 639,503.59/962.94
  6. Step 6: Final answer
    x = 664.12

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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.