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Finding the Fourth Proportional to 1,021.27, 1,530.55 and 371.38

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Solution

The fourth proportional to 1,021.27, 1,530.55 and 371.38 is: 556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.27 : 1,530.55 = 371.38 : x
  2. Step 2: Convert to fraction form
    1,021.27/1,530.55 = 371.38/x
  3. Step 3: Cross multiply
    1,021.27x = 1,530.55 × 371.38
  4. Step 4: Simplify right side
    1,021.27x = 568,412.30
  5. Step 5: Solve for x
    x = 568,412.30/1,021.27
  6. Step 6: Final answer
    x = 556.58

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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.