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Finding the Fourth Proportional to 1,076.34, 1,614.79 and 306.84

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Solution

The fourth proportional to 1,076.34, 1,614.79 and 306.84 is: 460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.34 : 1,614.79 = 306.84 : x
  2. Step 2: Convert to fraction form
    1,076.34/1,614.79 = 306.84/x
  3. Step 3: Cross multiply
    1,076.34x = 1,614.79 × 306.84
  4. Step 4: Simplify right side
    1,076.34x = 495,486.88
  5. Step 5: Solve for x
    x = 495,486.88/1,076.34
  6. Step 6: Final answer
    x = 460.34

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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.