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Finding the Fourth Proportional to 1,236.40, 1,854.54 and 414.61

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Solution

The fourth proportional to 1,236.40, 1,854.54 and 414.61 is: 621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.40 : 1,854.54 = 414.61 : x
  2. Step 2: Convert to fraction form
    1,236.40/1,854.54 = 414.61/x
  3. Step 3: Cross multiply
    1,236.40x = 1,854.54 × 414.61
  4. Step 4: Simplify right side
    1,236.40x = 768,906.19
  5. Step 5: Solve for x
    x = 768,906.19/1,236.40
  6. Step 6: Final answer
    x = 621.89

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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.