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Finding the Fourth Proportional to 1,111.37, 1,667.16 and 453.11

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Solution

The fourth proportional to 1,111.37, 1,667.16 and 453.11 is: 679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.37 : 1,667.16 = 453.11 : x
  2. Step 2: Convert to fraction form
    1,111.37/1,667.16 = 453.11/x
  3. Step 3: Cross multiply
    1,111.37x = 1,667.16 × 453.11
  4. Step 4: Simplify right side
    1,111.37x = 755,398.53
  5. Step 5: Solve for x
    x = 755,398.53/1,111.37
  6. Step 6: Final answer
    x = 679.70

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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.