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Finding the Fourth Proportional to 1,361.04, 1,878.50 and 771.59

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Solution

The fourth proportional to 1,361.04, 1,878.50 and 771.59 is: 1,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.04 : 1,878.50 = 771.59 : x
  2. Step 2: Convert to fraction form
    1,361.04/1,878.50 = 771.59/x
  3. Step 3: Cross multiply
    1,361.04x = 1,878.50 × 771.59
  4. Step 4: Simplify right side
    1,361.04x = 1,449,438.44
  5. Step 5: Solve for x
    x = 1,449,438.44/1,361.04
  6. Step 6: Final answer
    x = 1,064.95

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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.