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Finding the Fourth Proportional to 1,234.71, 1,851.45 and 412.70

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Solution

The fourth proportional to 1,234.71, 1,851.45 and 412.70 is: 618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.71 : 1,851.45 = 412.70 : x
  2. Step 2: Convert to fraction form
    1,234.71/1,851.45 = 412.70/x
  3. Step 3: Cross multiply
    1,234.71x = 1,851.45 × 412.70
  4. Step 4: Simplify right side
    1,234.71x = 764,093.42
  5. Step 5: Solve for x
    x = 764,093.42/1,234.71
  6. Step 6: Final answer
    x = 618.84

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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.