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Finding the Fourth Proportional to 1,114.82, 1,538.44 and 617.46

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Solution

The fourth proportional to 1,114.82, 1,538.44 and 617.46 is: 852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.82 : 1,538.44 = 617.46 : x
  2. Step 2: Convert to fraction form
    1,114.82/1,538.44 = 617.46/x
  3. Step 3: Cross multiply
    1,114.82x = 1,538.44 × 617.46
  4. Step 4: Simplify right side
    1,114.82x = 949,926.50
  5. Step 5: Solve for x
    x = 949,926.50/1,114.82
  6. Step 6: Final answer
    x = 852.09

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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.