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Finding the Fourth Proportional to 789.23, 1,089.32 and 457.84

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Solution

The fourth proportional to 789.23, 1,089.32 and 457.84 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.23 : 1,089.32 = 457.84 : x
  2. Step 2: Convert to fraction form
    789.23/1,089.32 = 457.84/x
  3. Step 3: Cross multiply
    789.23x = 1,089.32 × 457.84
  4. Step 4: Simplify right side
    789.23x = 498,728.82
  5. Step 5: Solve for x
    x = 498,728.82/789.23
  6. Step 6: Final answer
    x = 631.92

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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.