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Finding the Fourth Proportional to 789.13, 1,089.05 and 457.66

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Solution

The fourth proportional to 789.13, 1,089.05 and 457.66 is: 631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.13 : 1,089.05 = 457.66 : x
  2. Step 2: Convert to fraction form
    789.13/1,089.05 = 457.66/x
  3. Step 3: Cross multiply
    789.13x = 1,089.05 × 457.66
  4. Step 4: Simplify right side
    789.13x = 498,414.62
  5. Step 5: Solve for x
    x = 498,414.62/789.13
  6. Step 6: Final answer
    x = 631.60

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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.