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Finding the Fourth Proportional to 1,285.98, 1,928.80 and 506.56

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Solution

The fourth proportional to 1,285.98, 1,928.80 and 506.56 is: 759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.98 : 1,928.80 = 506.56 : x
  2. Step 2: Convert to fraction form
    1,285.98/1,928.80 = 506.56/x
  3. Step 3: Cross multiply
    1,285.98x = 1,928.80 × 506.56
  4. Step 4: Simplify right side
    1,285.98x = 977,052.93
  5. Step 5: Solve for x
    x = 977,052.93/1,285.98
  6. Step 6: Final answer
    x = 759.77

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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.