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Finding the Fourth Proportional to 1,385.18, 2,076.15 and 518.84

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Solution

The fourth proportional to 1,385.18, 2,076.15 and 518.84 is: 777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.18 : 2,076.15 = 518.84 : x
  2. Step 2: Convert to fraction form
    1,385.18/2,076.15 = 518.84/x
  3. Step 3: Cross multiply
    1,385.18x = 2,076.15 × 518.84
  4. Step 4: Simplify right side
    1,385.18x = 1,077,189.67
  5. Step 5: Solve for x
    x = 1,077,189.67/1,385.18
  6. Step 6: Final answer
    x = 777.65

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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.