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Finding the Fourth Proportional to 1,021.08, 1,532.04 and 371.88

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Solution

The fourth proportional to 1,021.08, 1,532.04 and 371.88 is: 557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.08 : 1,532.04 = 371.88 : x
  2. Step 2: Convert to fraction form
    1,021.08/1,532.04 = 371.88/x
  3. Step 3: Cross multiply
    1,021.08x = 1,532.04 × 371.88
  4. Step 4: Simplify right side
    1,021.08x = 569,735.04
  5. Step 5: Solve for x
    x = 569,735.04/1,021.08
  6. Step 6: Final answer
    x = 557.97

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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.