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Finding the Fourth Proportional to 684.01, 941.75 and 596.65

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Solution

The fourth proportional to 684.01, 941.75 and 596.65 is: 821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.01 : 941.75 = 596.65 : x
  2. Step 2: Convert to fraction form
    684.01/941.75 = 596.65/x
  3. Step 3: Cross multiply
    684.01x = 941.75 × 596.65
  4. Step 4: Simplify right side
    684.01x = 561,890.43
  5. Step 5: Solve for x
    x = 561,890.43/684.01
  6. Step 6: Final answer
    x = 821.47

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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.