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Finding the Fourth Proportional to 693.04, 1,039.52 and 389.04

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Solution

The fourth proportional to 693.04, 1,039.52 and 389.04 is: 583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.04 : 1,039.52 = 389.04 : x
  2. Step 2: Convert to fraction form
    693.04/1,039.52 = 389.04/x
  3. Step 3: Cross multiply
    693.04x = 1,039.52 × 389.04
  4. Step 4: Simplify right side
    693.04x = 404,414.86
  5. Step 5: Solve for x
    x = 404,414.86/693.04
  6. Step 6: Final answer
    x = 583.54

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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.