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Finding the Fourth Proportional to 1,245.15, 1,718.34 and 685.63

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Solution

The fourth proportional to 1,245.15, 1,718.34 and 685.63 is: 946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.15 : 1,718.34 = 685.63 : x
  2. Step 2: Convert to fraction form
    1,245.15/1,718.34 = 685.63/x
  3. Step 3: Cross multiply
    1,245.15x = 1,718.34 × 685.63
  4. Step 4: Simplify right side
    1,245.15x = 1,178,142.03
  5. Step 5: Solve for x
    x = 1,178,142.03/1,245.15
  6. Step 6: Final answer
    x = 946.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.