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Finding the Fourth Proportional to 684.59, 943.83 and 505.04

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Solution

The fourth proportional to 684.59, 943.83 and 505.04 is: 696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.59 : 943.83 = 505.04 : x
  2. Step 2: Convert to fraction form
    684.59/943.83 = 505.04/x
  3. Step 3: Cross multiply
    684.59x = 943.83 × 505.04
  4. Step 4: Simplify right side
    684.59x = 476,671.90
  5. Step 5: Solve for x
    x = 476,671.90/684.59
  6. Step 6: Final answer
    x = 696.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.