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Finding the Fourth Proportional to 684.03, 1,025.73 and 294.01

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Solution

The fourth proportional to 684.03, 1,025.73 and 294.01 is: 440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.03 : 1,025.73 = 294.01 : x
  2. Step 2: Convert to fraction form
    684.03/1,025.73 = 294.01/x
  3. Step 3: Cross multiply
    684.03x = 1,025.73 × 294.01
  4. Step 4: Simplify right side
    684.03x = 301,578.08
  5. Step 5: Solve for x
    x = 301,578.08/684.03
  6. Step 6: Final answer
    x = 440.89

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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.