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Finding the Fourth Proportional to 789.58, 1,089.82 and 458.21

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Solution

The fourth proportional to 789.58, 1,089.82 and 458.21 is: 632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.58 : 1,089.82 = 458.21 : x
  2. Step 2: Convert to fraction form
    789.58/1,089.82 = 458.21/x
  3. Step 3: Cross multiply
    789.58x = 1,089.82 × 458.21
  4. Step 4: Simplify right side
    789.58x = 499,366.42
  5. Step 5: Solve for x
    x = 499,366.42/789.58
  6. Step 6: Final answer
    x = 632.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.