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Finding the Fourth Proportional to 783.37, 1,175.33 and 289.79

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Solution

The fourth proportional to 783.37, 1,175.33 and 289.79 is: 434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.37 : 1,175.33 = 289.79 : x
  2. Step 2: Convert to fraction form
    783.37/1,175.33 = 289.79/x
  3. Step 3: Cross multiply
    783.37x = 1,175.33 × 289.79
  4. Step 4: Simplify right side
    783.37x = 340,593.73
  5. Step 5: Solve for x
    x = 340,593.73/783.37
  6. Step 6: Final answer
    x = 434.78

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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.