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Finding the Fourth Proportional to 1,385.60, 2,076.56 and 519.04

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Solution

The fourth proportional to 1,385.60, 2,076.56 and 519.04 is: 777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.60 : 2,076.56 = 519.04 : x
  2. Step 2: Convert to fraction form
    1,385.60/2,076.56 = 519.04/x
  3. Step 3: Cross multiply
    1,385.60x = 2,076.56 × 519.04
  4. Step 4: Simplify right side
    1,385.60x = 1,077,817.70
  5. Step 5: Solve for x
    x = 1,077,817.70/1,385.60
  6. Step 6: Final answer
    x = 777.87

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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.