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Finding the Fourth Proportional to 1,018.33, 1,524.04 and 628.59

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Solution

The fourth proportional to 1,018.33, 1,524.04 and 628.59 is: 940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.33 : 1,524.04 = 628.59 : x
  2. Step 2: Convert to fraction form
    1,018.33/1,524.04 = 628.59/x
  3. Step 3: Cross multiply
    1,018.33x = 1,524.04 × 628.59
  4. Step 4: Simplify right side
    1,018.33x = 957,996.30
  5. Step 5: Solve for x
    x = 957,996.30/1,018.33
  6. Step 6: Final answer
    x = 940.75

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