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Finding the Fourth Proportional to 1,111.39, 1,667.32 and 591.71

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Solution

The fourth proportional to 1,111.39, 1,667.32 and 591.71 is: 887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.39 : 1,667.32 = 591.71 : x
  2. Step 2: Convert to fraction form
    1,111.39/1,667.32 = 591.71/x
  3. Step 3: Cross multiply
    1,111.39x = 1,667.32 × 591.71
  4. Step 4: Simplify right side
    1,111.39x = 986,560.10
  5. Step 5: Solve for x
    x = 986,560.10/1,111.39
  6. Step 6: Final answer
    x = 887.68

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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.