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Finding the Fourth Proportional to 1,286.98, 1,928.85 and 555.70

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Solution

The fourth proportional to 1,286.98, 1,928.85 and 555.70 is: 832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.98 : 1,928.85 = 555.70 : x
  2. Step 2: Convert to fraction form
    1,286.98/1,928.85 = 555.70/x
  3. Step 3: Cross multiply
    1,286.98x = 1,928.85 × 555.70
  4. Step 4: Simplify right side
    1,286.98x = 1,071,861.95
  5. Step 5: Solve for x
    x = 1,071,861.95/1,286.98
  6. Step 6: Final answer
    x = 832.85

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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.