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Finding the Fourth Proportional to 789.84, 1,089.54 and 541.44

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Solution

The fourth proportional to 789.84, 1,089.54 and 541.44 is: 746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.84 : 1,089.54 = 541.44 : x
  2. Step 2: Convert to fraction form
    789.84/1,089.54 = 541.44/x
  3. Step 3: Cross multiply
    789.84x = 1,089.54 × 541.44
  4. Step 4: Simplify right side
    789.84x = 589,920.54
  5. Step 5: Solve for x
    x = 589,920.54/789.84
  6. Step 6: Final answer
    x = 746.89

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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.