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Finding the Fourth Proportional to 1,278.99, 1,915.44 and 790.56

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Solution

The fourth proportional to 1,278.99, 1,915.44 and 790.56 is: 1,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.99 : 1,915.44 = 790.56 : x
  2. Step 2: Convert to fraction form
    1,278.99/1,915.44 = 790.56/x
  3. Step 3: Cross multiply
    1,278.99x = 1,915.44 × 790.56
  4. Step 4: Simplify right side
    1,278.99x = 1,514,270.25
  5. Step 5: Solve for x
    x = 1,514,270.25/1,278.99
  6. Step 6: Final answer
    x = 1,183.96

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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.