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Finding the Fourth Proportional to 1,111.94, 1,667.37 and 649.84

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Solution

The fourth proportional to 1,111.94, 1,667.37 and 649.84 is: 974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.94 : 1,667.37 = 649.84 : x
  2. Step 2: Convert to fraction form
    1,111.94/1,667.37 = 649.84/x
  3. Step 3: Cross multiply
    1,111.94x = 1,667.37 × 649.84
  4. Step 4: Simplify right side
    1,111.94x = 1,083,519.55
  5. Step 5: Solve for x
    x = 1,083,519.55/1,111.94
  6. Step 6: Final answer
    x = 974.44

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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.