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Finding the Fourth Proportional to 682.68, 1,023.06 and 394.32

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Solution

The fourth proportional to 682.68, 1,023.06 and 394.32 is: 590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.68 : 1,023.06 = 394.32 : x
  2. Step 2: Convert to fraction form
    682.68/1,023.06 = 394.32/x
  3. Step 3: Cross multiply
    682.68x = 1,023.06 × 394.32
  4. Step 4: Simplify right side
    682.68x = 403,413.02
  5. Step 5: Solve for x
    x = 403,413.02/682.68
  6. Step 6: Final answer
    x = 590.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.