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Finding the Fourth Proportional to 1,076.28, 1,615.08 and 427.07

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Solution

The fourth proportional to 1,076.28, 1,615.08 and 427.07 is: 640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.28 : 1,615.08 = 427.07 : x
  2. Step 2: Convert to fraction form
    1,076.28/1,615.08 = 427.07/x
  3. Step 3: Cross multiply
    1,076.28x = 1,615.08 × 427.07
  4. Step 4: Simplify right side
    1,076.28x = 689,744.14
  5. Step 5: Solve for x
    x = 689,744.14/1,076.28
  6. Step 6: Final answer
    x = 640.86

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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.