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Finding the Fourth Proportional to 881.99, 1,323.84 and 420.09

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Solution

The fourth proportional to 881.99, 1,323.84 and 420.09 is: 630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.99 : 1,323.84 = 420.09 : x
  2. Step 2: Convert to fraction form
    881.99/1,323.84 = 420.09/x
  3. Step 3: Cross multiply
    881.99x = 1,323.84 × 420.09
  4. Step 4: Simplify right side
    881.99x = 556,128.56
  5. Step 5: Solve for x
    x = 556,128.56/881.99
  6. Step 6: Final answer
    x = 630.54

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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.