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Finding the Fourth Proportional to 1,004.03, 1,506.47 and 541.27

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Solution

The fourth proportional to 1,004.03, 1,506.47 and 541.27 is: 812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.03 : 1,506.47 = 541.27 : x
  2. Step 2: Convert to fraction form
    1,004.03/1,506.47 = 541.27/x
  3. Step 3: Cross multiply
    1,004.03x = 1,506.47 × 541.27
  4. Step 4: Simplify right side
    1,004.03x = 815,408.64
  5. Step 5: Solve for x
    x = 815,408.64/1,004.03
  6. Step 6: Final answer
    x = 812.13

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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.