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Finding the Fourth Proportional to 1,384.14, 2,076.27 and 410.25

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Solution

The fourth proportional to 1,384.14, 2,076.27 and 410.25 is: 615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.14 : 2,076.27 = 410.25 : x
  2. Step 2: Convert to fraction form
    1,384.14/2,076.27 = 410.25/x
  3. Step 3: Cross multiply
    1,384.14x = 2,076.27 × 410.25
  4. Step 4: Simplify right side
    1,384.14x = 851,789.77
  5. Step 5: Solve for x
    x = 851,789.77/1,384.14
  6. Step 6: Final answer
    x = 615.39

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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.