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Finding the Fourth Proportional to 789.41, 1,089.24 and 457.85

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Solution

The fourth proportional to 789.41, 1,089.24 and 457.85 is: 631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.41 : 1,089.24 = 457.85 : x
  2. Step 2: Convert to fraction form
    789.41/1,089.24 = 457.85/x
  3. Step 3: Cross multiply
    789.41x = 1,089.24 × 457.85
  4. Step 4: Simplify right side
    789.41x = 498,703.09
  5. Step 5: Solve for x
    x = 498,703.09/789.41
  6. Step 6: Final answer
    x = 631.75

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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.