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Finding the Fourth Proportional to 789.40, 1,089.23 and 457.71

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Solution

The fourth proportional to 789.40, 1,089.23 and 457.71 is: 631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.40 : 1,089.23 = 457.71 : x
  2. Step 2: Convert to fraction form
    789.40/1,089.23 = 457.71/x
  3. Step 3: Cross multiply
    789.40x = 1,089.23 × 457.71
  4. Step 4: Simplify right side
    789.40x = 498,551.46
  5. Step 5: Solve for x
    x = 498,551.46/789.40
  6. Step 6: Final answer
    x = 631.56

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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.