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Finding the Fourth Proportional to 1,112.01, 1,667.81 and 591.39

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Solution

The fourth proportional to 1,112.01, 1,667.81 and 591.39 is: 886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.01 : 1,667.81 = 591.39 : x
  2. Step 2: Convert to fraction form
    1,112.01/1,667.81 = 591.39/x
  3. Step 3: Cross multiply
    1,112.01x = 1,667.81 × 591.39
  4. Step 4: Simplify right side
    1,112.01x = 986,323.20
  5. Step 5: Solve for x
    x = 986,323.20/1,112.01
  6. Step 6: Final answer
    x = 886.97

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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.