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Finding the Fourth Proportional to 789.31, 1,089.14 and 457.69

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Solution

The fourth proportional to 789.31, 1,089.14 and 457.69 is: 631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.31 : 1,089.14 = 457.69 : x
  2. Step 2: Convert to fraction form
    789.31/1,089.14 = 457.69/x
  3. Step 3: Cross multiply
    789.31x = 1,089.14 × 457.69
  4. Step 4: Simplify right side
    789.31x = 498,488.49
  5. Step 5: Solve for x
    x = 498,488.49/789.31
  6. Step 6: Final answer
    x = 631.55

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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.