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Finding the Fourth Proportional to 1,463.85, 2,196.47 and 733.94

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Solution

The fourth proportional to 1,463.85, 2,196.47 and 733.94 is: 1,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.85 : 2,196.47 = 733.94 : x
  2. Step 2: Convert to fraction form
    1,463.85/2,196.47 = 733.94/x
  3. Step 3: Cross multiply
    1,463.85x = 2,196.47 × 733.94
  4. Step 4: Simplify right side
    1,463.85x = 1,612,076.28
  5. Step 5: Solve for x
    x = 1,612,076.28/1,463.85
  6. Step 6: Final answer
    x = 1,101.26

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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.