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Finding the Fourth Proportional to 1,286.56, 1,927.68 and 592.21

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Solution

The fourth proportional to 1,286.56, 1,927.68 and 592.21 is: 887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.56 : 1,927.68 = 592.21 : x
  2. Step 2: Convert to fraction form
    1,286.56/1,927.68 = 592.21/x
  3. Step 3: Cross multiply
    1,286.56x = 1,927.68 × 592.21
  4. Step 4: Simplify right side
    1,286.56x = 1,141,591.37
  5. Step 5: Solve for x
    x = 1,141,591.37/1,286.56
  6. Step 6: Final answer
    x = 887.32

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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.