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Finding the Fourth Proportional to 1,285.58, 1,928.48 and 505.53

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Solution

The fourth proportional to 1,285.58, 1,928.48 and 505.53 is: 758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.58 : 1,928.48 = 505.53 : x
  2. Step 2: Convert to fraction form
    1,285.58/1,928.48 = 505.53/x
  3. Step 3: Cross multiply
    1,285.58x = 1,928.48 × 505.53
  4. Step 4: Simplify right side
    1,285.58x = 974,901.97
  5. Step 5: Solve for x
    x = 974,901.97/1,285.58
  6. Step 6: Final answer
    x = 758.33

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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.