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Finding the Fourth Proportional to 1,172.63, 1,757.91 and 442.24

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Solution

The fourth proportional to 1,172.63, 1,757.91 and 442.24 is: 662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.63 : 1,757.91 = 442.24 : x
  2. Step 2: Convert to fraction form
    1,172.63/1,757.91 = 442.24/x
  3. Step 3: Cross multiply
    1,172.63x = 1,757.91 × 442.24
  4. Step 4: Simplify right side
    1,172.63x = 777,418.12
  5. Step 5: Solve for x
    x = 777,418.12/1,172.63
  6. Step 6: Final answer
    x = 662.97

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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.