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Finding the Fourth Proportional to 1,285.75, 1,928.63 and 420.09

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Solution

The fourth proportional to 1,285.75, 1,928.63 and 420.09 is: 630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.75 : 1,928.63 = 420.09 : x
  2. Step 2: Convert to fraction form
    1,285.75/1,928.63 = 420.09/x
  3. Step 3: Cross multiply
    1,285.75x = 1,928.63 × 420.09
  4. Step 4: Simplify right side
    1,285.75x = 810,198.18
  5. Step 5: Solve for x
    x = 810,198.18/1,285.75
  6. Step 6: Final answer
    x = 630.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.