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Finding the Fourth Proportional to 1,649.69, 2,474.78 and 553.79

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Solution

The fourth proportional to 1,649.69, 2,474.78 and 553.79 is: 830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.69 : 2,474.78 = 553.79 : x
  2. Step 2: Convert to fraction form
    1,649.69/2,474.78 = 553.79/x
  3. Step 3: Cross multiply
    1,649.69x = 2,474.78 × 553.79
  4. Step 4: Simplify right side
    1,649.69x = 1,370,493.27
  5. Step 5: Solve for x
    x = 1,370,493.27/1,649.69
  6. Step 6: Final answer
    x = 830.76

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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.