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Finding the Fourth Proportional to 823.72, 1,230.14 and 733

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Solution

The fourth proportional to 823.72, 1,230.14 and 733 is: 1,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.72 : 1,230.14 = 733 : x
  2. Step 2: Convert to fraction form
    823.72/1,230.14 = 733/x
  3. Step 3: Cross multiply
    823.72x = 1,230.14 × 733
  4. Step 4: Simplify right side
    823.72x = 901,692.62
  5. Step 5: Solve for x
    x = 901,692.62/823.72
  6. Step 6: Final answer
    x = 1,094.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.