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Finding the Fourth Proportional to 881.73, 1,323.42 and 419.83

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Solution

The fourth proportional to 881.73, 1,323.42 and 419.83 is: 630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.73 : 1,323.42 = 419.83 : x
  2. Step 2: Convert to fraction form
    881.73/1,323.42 = 419.83/x
  3. Step 3: Cross multiply
    881.73x = 1,323.42 × 419.83
  4. Step 4: Simplify right side
    881.73x = 555,611.42
  5. Step 5: Solve for x
    x = 555,611.42/881.73
  6. Step 6: Final answer
    x = 630.14

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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.