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Finding the Fourth Proportional to 1,361.57, 1,878.97 and 830.45

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Solution

The fourth proportional to 1,361.57, 1,878.97 and 830.45 is: 1,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.57 : 1,878.97 = 830.45 : x
  2. Step 2: Convert to fraction form
    1,361.57/1,878.97 = 830.45/x
  3. Step 3: Cross multiply
    1,361.57x = 1,878.97 × 830.45
  4. Step 4: Simplify right side
    1,361.57x = 1,560,393.26
  5. Step 5: Solve for x
    x = 1,560,393.26/1,361.57
  6. Step 6: Final answer
    x = 1,146.02

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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.