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Finding the Fourth Proportional to 1,361.97, 1,879.50 and 772.50

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Solution

The fourth proportional to 1,361.97, 1,879.50 and 772.50 is: 1,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.97 : 1,879.50 = 772.50 : x
  2. Step 2: Convert to fraction form
    1,361.97/1,879.50 = 772.50/x
  3. Step 3: Cross multiply
    1,361.97x = 1,879.50 × 772.50
  4. Step 4: Simplify right side
    1,361.97x = 1,451,913.75
  5. Step 5: Solve for x
    x = 1,451,913.75/1,361.97
  6. Step 6: Final answer
    x = 1,066.04

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Why These Related Problems?

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