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Finding the Fourth Proportional to 685.93, 1,028.99 and 253.05

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Solution

The fourth proportional to 685.93, 1,028.99 and 253.05 is: 379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.93 : 1,028.99 = 253.05 : x
  2. Step 2: Convert to fraction form
    685.93/1,028.99 = 253.05/x
  3. Step 3: Cross multiply
    685.93x = 1,028.99 × 253.05
  4. Step 4: Simplify right side
    685.93x = 260,385.92
  5. Step 5: Solve for x
    x = 260,385.92/685.93
  6. Step 6: Final answer
    x = 379.61

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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.