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Finding the Fourth Proportional to 789.42, 1,089.42 and 457.98

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Solution

The fourth proportional to 789.42, 1,089.42 and 457.98 is: 632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.42 : 1,089.42 = 457.98 : x
  2. Step 2: Convert to fraction form
    789.42/1,089.42 = 457.98/x
  3. Step 3: Cross multiply
    789.42x = 1,089.42 × 457.98
  4. Step 4: Simplify right side
    789.42x = 498,932.57
  5. Step 5: Solve for x
    x = 498,932.57/789.42
  6. Step 6: Final answer
    x = 632.02

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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.