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Finding the Fourth Proportional to 685.93, 1,027.06 and 360.61

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Solution

The fourth proportional to 685.93, 1,027.06 and 360.61 is: 539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.93 : 1,027.06 = 360.61 : x
  2. Step 2: Convert to fraction form
    685.93/1,027.06 = 360.61/x
  3. Step 3: Cross multiply
    685.93x = 1,027.06 × 360.61
  4. Step 4: Simplify right side
    685.93x = 370,368.11
  5. Step 5: Solve for x
    x = 370,368.11/685.93
  6. Step 6: Final answer
    x = 539.95

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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.