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Finding the Fourth Proportional to 1,285.37, 1,928.40 and 554.78

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Solution

The fourth proportional to 1,285.37, 1,928.40 and 554.78 is: 832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.37 : 1,928.40 = 554.78 : x
  2. Step 2: Convert to fraction form
    1,285.37/1,928.40 = 554.78/x
  3. Step 3: Cross multiply
    1,285.37x = 1,928.40 × 554.78
  4. Step 4: Simplify right side
    1,285.37x = 1,069,842.57
  5. Step 5: Solve for x
    x = 1,069,842.57/1,285.37
  6. Step 6: Final answer
    x = 832.33

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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.