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Finding the Fourth Proportional to 782.38, 1,173.66 and 619.84

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Solution

The fourth proportional to 782.38, 1,173.66 and 619.84 is: 929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.38 : 1,173.66 = 619.84 : x
  2. Step 2: Convert to fraction form
    782.38/1,173.66 = 619.84/x
  3. Step 3: Cross multiply
    782.38x = 1,173.66 × 619.84
  4. Step 4: Simplify right side
    782.38x = 727,481.41
  5. Step 5: Solve for x
    x = 727,481.41/782.38
  6. Step 6: Final answer
    x = 929.83

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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.