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Finding the Fourth Proportional to 684.53, 1,026.38 and 581.86

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Solution

The fourth proportional to 684.53, 1,026.38 and 581.86 is: 872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.53 : 1,026.38 = 581.86 : x
  2. Step 2: Convert to fraction form
    684.53/1,026.38 = 581.86/x
  3. Step 3: Cross multiply
    684.53x = 1,026.38 × 581.86
  4. Step 4: Simplify right side
    684.53x = 597,208.36
  5. Step 5: Solve for x
    x = 597,208.36/684.53
  6. Step 6: Final answer
    x = 872.44

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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.