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Finding the Fourth Proportional to 1,262.44, 1,892.54 and 645.80

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Solution

The fourth proportional to 1,262.44, 1,892.54 and 645.80 is: 968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.44 : 1,892.54 = 645.80 : x
  2. Step 2: Convert to fraction form
    1,262.44/1,892.54 = 645.80/x
  3. Step 3: Cross multiply
    1,262.44x = 1,892.54 × 645.80
  4. Step 4: Simplify right side
    1,262.44x = 1,222,202.33
  5. Step 5: Solve for x
    x = 1,222,202.33/1,262.44
  6. Step 6: Final answer
    x = 968.13

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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.