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Finding the Fourth Proportional to 1,111.91, 1,667.61 and 331.84

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Solution

The fourth proportional to 1,111.91, 1,667.61 and 331.84 is: 497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.91 : 1,667.61 = 331.84 : x
  2. Step 2: Convert to fraction form
    1,111.91/1,667.61 = 331.84/x
  3. Step 3: Cross multiply
    1,111.91x = 1,667.61 × 331.84
  4. Step 4: Simplify right side
    1,111.91x = 553,369.71
  5. Step 5: Solve for x
    x = 553,369.71/1,111.91
  6. Step 6: Final answer
    x = 497.68

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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.