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Finding the Fourth Proportional to 1,361.26, 1,878.69 and 830.17

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Solution

The fourth proportional to 1,361.26, 1,878.69 and 830.17 is: 1,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.26 : 1,878.69 = 830.17 : x
  2. Step 2: Convert to fraction form
    1,361.26/1,878.69 = 830.17/x
  3. Step 3: Cross multiply
    1,361.26x = 1,878.69 × 830.17
  4. Step 4: Simplify right side
    1,361.26x = 1,559,632.08
  5. Step 5: Solve for x
    x = 1,559,632.08/1,361.26
  6. Step 6: Final answer
    x = 1,145.73

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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.