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Finding the Fourth Proportional to 1,262.10, 1,893.69 and 482.33

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Solution

The fourth proportional to 1,262.10, 1,893.69 and 482.33 is: 723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.10 : 1,893.69 = 482.33 : x
  2. Step 2: Convert to fraction form
    1,262.10/1,893.69 = 482.33/x
  3. Step 3: Cross multiply
    1,262.10x = 1,893.69 × 482.33
  4. Step 4: Simplify right side
    1,262.10x = 913,387.03
  5. Step 5: Solve for x
    x = 913,387.03/1,262.10
  6. Step 6: Final answer
    x = 723.71

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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.