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Finding the Fourth Proportional to 1,111.68, 1,667.59 and 289.97

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Solution

The fourth proportional to 1,111.68, 1,667.59 and 289.97 is: 434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.68 : 1,667.59 = 289.97 : x
  2. Step 2: Convert to fraction form
    1,111.68/1,667.59 = 289.97/x
  3. Step 3: Cross multiply
    1,111.68x = 1,667.59 × 289.97
  4. Step 4: Simplify right side
    1,111.68x = 483,551.07
  5. Step 5: Solve for x
    x = 483,551.07/1,111.68
  6. Step 6: Final answer
    x = 434.97

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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.