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Finding the Fourth Proportional to 1,385.52, 2,076.68 and 518.96

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Solution

The fourth proportional to 1,385.52, 2,076.68 and 518.96 is: 777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.52 : 2,076.68 = 518.96 : x
  2. Step 2: Convert to fraction form
    1,385.52/2,076.68 = 518.96/x
  3. Step 3: Cross multiply
    1,385.52x = 2,076.68 × 518.96
  4. Step 4: Simplify right side
    1,385.52x = 1,077,713.85
  5. Step 5: Solve for x
    x = 1,077,713.85/1,385.52
  6. Step 6: Final answer
    x = 777.84

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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.