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Finding the Fourth Proportional to 1,243.92, 1,865.56 and 377.76

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Solution

The fourth proportional to 1,243.92, 1,865.56 and 377.76 is: 566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.92 : 1,865.56 = 377.76 : x
  2. Step 2: Convert to fraction form
    1,243.92/1,865.56 = 377.76/x
  3. Step 3: Cross multiply
    1,243.92x = 1,865.56 × 377.76
  4. Step 4: Simplify right side
    1,243.92x = 704,733.95
  5. Step 5: Solve for x
    x = 704,733.95/1,243.92
  6. Step 6: Final answer
    x = 566.54

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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.