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Finding the Fourth Proportional to 1,245.66, 1,868.16 and 659.87

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Solution

The fourth proportional to 1,245.66, 1,868.16 and 659.87 is: 989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.66 : 1,868.16 = 659.87 : x
  2. Step 2: Convert to fraction form
    1,245.66/1,868.16 = 659.87/x
  3. Step 3: Cross multiply
    1,245.66x = 1,868.16 × 659.87
  4. Step 4: Simplify right side
    1,245.66x = 1,232,742.74
  5. Step 5: Solve for x
    x = 1,232,742.74/1,245.66
  6. Step 6: Final answer
    x = 989.63

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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.