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Finding the Fourth Proportional to 1,243.57, 1,865.37 and 421.83

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Solution

The fourth proportional to 1,243.57, 1,865.37 and 421.83 is: 632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.57 : 1,865.37 = 421.83 : x
  2. Step 2: Convert to fraction form
    1,243.57/1,865.37 = 421.83/x
  3. Step 3: Cross multiply
    1,243.57x = 1,865.37 × 421.83
  4. Step 4: Simplify right side
    1,243.57x = 786,859.70
  5. Step 5: Solve for x
    x = 786,859.70/1,243.57
  6. Step 6: Final answer
    x = 632.74

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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.