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Finding the Fourth Proportional to 789, 1,089.09 and 478.50

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Solution

The fourth proportional to 789, 1,089.09 and 478.50 is: 660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    789 : 1,089.09 = 478.50 : x
  2. Step 2: Convert to fraction form
    789/1,089.09 = 478.50/x
  3. Step 3: Cross multiply
    789x = 1,089.09 × 478.50
  4. Step 4: Simplify right side
    789x = 521,129.57
  5. Step 5: Solve for x
    x = 521,129.57/789
  6. Step 6: Final answer
    x = 660.49

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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.