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Finding the Fourth Proportional to 1,111.81, 1,667.52 and 331.79

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Solution

The fourth proportional to 1,111.81, 1,667.52 and 331.79 is: 497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.81 : 1,667.52 = 331.79 : x
  2. Step 2: Convert to fraction form
    1,111.81/1,667.52 = 331.79/x
  3. Step 3: Cross multiply
    1,111.81x = 1,667.52 × 331.79
  4. Step 4: Simplify right side
    1,111.81x = 553,266.46
  5. Step 5: Solve for x
    x = 553,266.46/1,111.81
  6. Step 6: Final answer
    x = 497.63

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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.