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Finding the Fourth Proportional to 1,112.14, 1,667.72 and 592.03

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Solution

The fourth proportional to 1,112.14, 1,667.72 and 592.03 is: 887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.14 : 1,667.72 = 592.03 : x
  2. Step 2: Convert to fraction form
    1,112.14/1,667.72 = 592.03/x
  3. Step 3: Cross multiply
    1,112.14x = 1,667.72 × 592.03
  4. Step 4: Simplify right side
    1,112.14x = 987,337.31
  5. Step 5: Solve for x
    x = 987,337.31/1,112.14
  6. Step 6: Final answer
    x = 887.78

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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.