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Finding the Fourth Proportional to 829.58, 1,243.72 and 419.02

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Solution

The fourth proportional to 829.58, 1,243.72 and 419.02 is: 628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.58 : 1,243.72 = 419.02 : x
  2. Step 2: Convert to fraction form
    829.58/1,243.72 = 419.02/x
  3. Step 3: Cross multiply
    829.58x = 1,243.72 × 419.02
  4. Step 4: Simplify right side
    829.58x = 521,143.55
  5. Step 5: Solve for x
    x = 521,143.55/829.58
  6. Step 6: Final answer
    x = 628.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.