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Finding the Fourth Proportional to 881.37, 1,319.42 and 533.65

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Solution

The fourth proportional to 881.37, 1,319.42 and 533.65 is: 798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.37 : 1,319.42 = 533.65 : x
  2. Step 2: Convert to fraction form
    881.37/1,319.42 = 533.65/x
  3. Step 3: Cross multiply
    881.37x = 1,319.42 × 533.65
  4. Step 4: Simplify right side
    881.37x = 704,105.81
  5. Step 5: Solve for x
    x = 704,105.81/881.37
  6. Step 6: Final answer
    x = 798.88

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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.