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Finding the Fourth Proportional to 1,361.48, 1,878.26 and 830.39

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Solution

The fourth proportional to 1,361.48, 1,878.26 and 830.39 is: 1,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.48 : 1,878.26 = 830.39 : x
  2. Step 2: Convert to fraction form
    1,361.48/1,878.26 = 830.39/x
  3. Step 3: Cross multiply
    1,361.48x = 1,878.26 × 830.39
  4. Step 4: Simplify right side
    1,361.48x = 1,559,674.78
  5. Step 5: Solve for x
    x = 1,559,674.78/1,361.48
  6. Step 6: Final answer
    x = 1,145.58

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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.