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Finding the Fourth Proportional to 736.07, 1,103.67 and 389.57

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Solution

The fourth proportional to 736.07, 1,103.67 and 389.57 is: 584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.07 : 1,103.67 = 389.57 : x
  2. Step 2: Convert to fraction form
    736.07/1,103.67 = 389.57/x
  3. Step 3: Cross multiply
    736.07x = 1,103.67 × 389.57
  4. Step 4: Simplify right side
    736.07x = 429,951.20
  5. Step 5: Solve for x
    x = 429,951.20/736.07
  6. Step 6: Final answer
    x = 584.12

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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.