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Finding the Fourth Proportional to 1,134.21, 1,698.08 and 768.35

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Solution

The fourth proportional to 1,134.21, 1,698.08 and 768.35 is: 1,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.21 : 1,698.08 = 768.35 : x
  2. Step 2: Convert to fraction form
    1,134.21/1,698.08 = 768.35/x
  3. Step 3: Cross multiply
    1,134.21x = 1,698.08 × 768.35
  4. Step 4: Simplify right side
    1,134.21x = 1,304,720.17
  5. Step 5: Solve for x
    x = 1,304,720.17/1,134.21
  6. Step 6: Final answer
    x = 1,150.33

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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.