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Finding the Fourth Proportional to 738.04, 1,105.98 and 684.04

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Solution

The fourth proportional to 738.04, 1,105.98 and 684.04 is: 1,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.04 : 1,105.98 = 684.04 : x
  2. Step 2: Convert to fraction form
    738.04/1,105.98 = 684.04/x
  3. Step 3: Cross multiply
    738.04x = 1,105.98 × 684.04
  4. Step 4: Simplify right side
    738.04x = 756,534.56
  5. Step 5: Solve for x
    x = 756,534.56/738.04
  6. Step 6: Final answer
    x = 1,025.06

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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.