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Finding the Fourth Proportional to 1,024.03, 1,536.11 and 330.67

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Solution

The fourth proportional to 1,024.03, 1,536.11 and 330.67 is: 496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.03 : 1,536.11 = 330.67 : x
  2. Step 2: Convert to fraction form
    1,024.03/1,536.11 = 330.67/x
  3. Step 3: Cross multiply
    1,024.03x = 1,536.11 × 330.67
  4. Step 4: Simplify right side
    1,024.03x = 507,945.49
  5. Step 5: Solve for x
    x = 507,945.49/1,024.03
  6. Step 6: Final answer
    x = 496.03

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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.