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Finding the Fourth Proportional to 736.65, 1,103.67 and 389.22

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Solution

The fourth proportional to 736.65, 1,103.67 and 389.22 is: 583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.65 : 1,103.67 = 389.22 : x
  2. Step 2: Convert to fraction form
    736.65/1,103.67 = 389.22/x
  3. Step 3: Cross multiply
    736.65x = 1,103.67 × 389.22
  4. Step 4: Simplify right side
    736.65x = 429,565.41
  5. Step 5: Solve for x
    x = 429,565.41/736.65
  6. Step 6: Final answer
    x = 583.14

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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.