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Finding the Fourth Proportional to 783.33, 1,174.90 and 321.15

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Solution

The fourth proportional to 783.33, 1,174.90 and 321.15 is: 481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.33 : 1,174.90 = 321.15 : x
  2. Step 2: Convert to fraction form
    783.33/1,174.90 = 321.15/x
  3. Step 3: Cross multiply
    783.33x = 1,174.90 × 321.15
  4. Step 4: Simplify right side
    783.33x = 377,319.14
  5. Step 5: Solve for x
    x = 377,319.14/783.33
  6. Step 6: Final answer
    x = 481.69

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