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Finding the Fourth Proportional to 1,419.21, 1,957.88 and 829.49

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Solution

The fourth proportional to 1,419.21, 1,957.88 and 829.49 is: 1,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.21 : 1,957.88 = 829.49 : x
  2. Step 2: Convert to fraction form
    1,419.21/1,957.88 = 829.49/x
  3. Step 3: Cross multiply
    1,419.21x = 1,957.88 × 829.49
  4. Step 4: Simplify right side
    1,419.21x = 1,624,027.94
  5. Step 5: Solve for x
    x = 1,624,027.94/1,419.21
  6. Step 6: Final answer
    x = 1,144.32

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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.