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Finding the Fourth Proportional to 789.76, 1,185.38 and 419.84

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Solution

The fourth proportional to 789.76, 1,185.38 and 419.84 is: 630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.76 : 1,185.38 = 419.84 : x
  2. Step 2: Convert to fraction form
    789.76/1,185.38 = 419.84/x
  3. Step 3: Cross multiply
    789.76x = 1,185.38 × 419.84
  4. Step 4: Simplify right side
    789.76x = 497,669.94
  5. Step 5: Solve for x
    x = 497,669.94/789.76
  6. Step 6: Final answer
    x = 630.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.