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Finding the Fourth Proportional to 780.67, 1,171.00 and 232.85

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Solution

The fourth proportional to 780.67, 1,171.00 and 232.85 is: 349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.67 : 1,171.00 = 232.85 : x
  2. Step 2: Convert to fraction form
    780.67/1,171.00 = 232.85/x
  3. Step 3: Cross multiply
    780.67x = 1,171.00 × 232.85
  4. Step 4: Simplify right side
    780.67x = 272,666.18
  5. Step 5: Solve for x
    x = 272,666.18/780.67
  6. Step 6: Final answer
    x = 349.27

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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.