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Finding the Fourth Proportional to 789.16, 1,089.09 and 457.69

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Solution

The fourth proportional to 789.16, 1,089.09 and 457.69 is: 631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.16 : 1,089.09 = 457.69 : x
  2. Step 2: Convert to fraction form
    789.16/1,089.09 = 457.69/x
  3. Step 3: Cross multiply
    789.16x = 1,089.09 × 457.69
  4. Step 4: Simplify right side
    789.16x = 498,465.60
  5. Step 5: Solve for x
    x = 498,465.60/789.16
  6. Step 6: Final answer
    x = 631.64

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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.