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Finding the Fourth Proportional to 789.52, 1,089.44 and 457.92

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Solution

The fourth proportional to 789.52, 1,089.44 and 457.92 is: 631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.52 : 1,089.44 = 457.92 : x
  2. Step 2: Convert to fraction form
    789.52/1,089.44 = 457.92/x
  3. Step 3: Cross multiply
    789.52x = 1,089.44 × 457.92
  4. Step 4: Simplify right side
    789.52x = 498,876.36
  5. Step 5: Solve for x
    x = 498,876.36/789.52
  6. Step 6: Final answer
    x = 631.87

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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.