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Finding the Fourth Proportional to 684.05, 942.84 and 596.57

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Solution

The fourth proportional to 684.05, 942.84 and 596.57 is: 822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.05 : 942.84 = 596.57 : x
  2. Step 2: Convert to fraction form
    684.05/942.84 = 596.57/x
  3. Step 3: Cross multiply
    684.05x = 942.84 × 596.57
  4. Step 4: Simplify right side
    684.05x = 562,465.34
  5. Step 5: Solve for x
    x = 562,465.34/684.05
  6. Step 6: Final answer
    x = 822.26

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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.