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Finding the Fourth Proportional to 1,209.43, 1,813.76 and 746.52

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Solution

The fourth proportional to 1,209.43, 1,813.76 and 746.52 is: 1,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.43 : 1,813.76 = 746.52 : x
  2. Step 2: Convert to fraction form
    1,209.43/1,813.76 = 746.52/x
  3. Step 3: Cross multiply
    1,209.43x = 1,813.76 × 746.52
  4. Step 4: Simplify right side
    1,209.43x = 1,353,999.05
  5. Step 5: Solve for x
    x = 1,353,999.05/1,209.43
  6. Step 6: Final answer
    x = 1,119.53

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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.