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Finding the Fourth Proportional to 1,474.69, 2,035.02 and 811.50

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Solution

The fourth proportional to 1,474.69, 2,035.02 and 811.50 is: 1,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.69 : 2,035.02 = 811.50 : x
  2. Step 2: Convert to fraction form
    1,474.69/2,035.02 = 811.50/x
  3. Step 3: Cross multiply
    1,474.69x = 2,035.02 × 811.50
  4. Step 4: Simplify right side
    1,474.69x = 1,651,418.73
  5. Step 5: Solve for x
    x = 1,651,418.73/1,474.69
  6. Step 6: Final answer
    x = 1,119.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.