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Finding the Fourth Proportional to 789.79, 1,089.91 and 458.41

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Solution

The fourth proportional to 789.79, 1,089.91 and 458.41 is: 632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.79 : 1,089.91 = 458.41 : x
  2. Step 2: Convert to fraction form
    789.79/1,089.91 = 458.41/x
  3. Step 3: Cross multiply
    789.79x = 1,089.91 × 458.41
  4. Step 4: Simplify right side
    789.79x = 499,625.86
  5. Step 5: Solve for x
    x = 499,625.86/789.79
  6. Step 6: Final answer
    x = 632.60

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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.