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Finding the Fourth Proportional to 685.86, 1,027.15 and 355.92

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Solution

The fourth proportional to 685.86, 1,027.15 and 355.92 is: 533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.86 : 1,027.15 = 355.92 : x
  2. Step 2: Convert to fraction form
    685.86/1,027.15 = 355.92/x
  3. Step 3: Cross multiply
    685.86x = 1,027.15 × 355.92
  4. Step 4: Simplify right side
    685.86x = 365,583.23
  5. Step 5: Solve for x
    x = 365,583.23/685.86
  6. Step 6: Final answer
    x = 533.03

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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.