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Finding the Fourth Proportional to 684.46, 1,024.90 and 452.64

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Solution

The fourth proportional to 684.46, 1,024.90 and 452.64 is: 677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.46 : 1,024.90 = 452.64 : x
  2. Step 2: Convert to fraction form
    684.46/1,024.90 = 452.64/x
  3. Step 3: Cross multiply
    684.46x = 1,024.90 × 452.64
  4. Step 4: Simplify right side
    684.46x = 463,910.74
  5. Step 5: Solve for x
    x = 463,910.74/684.46
  6. Step 6: Final answer
    x = 677.78

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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.