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Finding the Fourth Proportional to 1,245.56, 1,718.87 and 686.05

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Solution

The fourth proportional to 1,245.56, 1,718.87 and 686.05 is: 946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.56 : 1,718.87 = 686.05 : x
  2. Step 2: Convert to fraction form
    1,245.56/1,718.87 = 686.05/x
  3. Step 3: Cross multiply
    1,245.56x = 1,718.87 × 686.05
  4. Step 4: Simplify right side
    1,245.56x = 1,179,230.76
  5. Step 5: Solve for x
    x = 1,179,230.76/1,245.56
  6. Step 6: Final answer
    x = 946.75

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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.