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Finding the Fourth Proportional to 1,223.21, 1,835.85 and 493.31

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Solution

The fourth proportional to 1,223.21, 1,835.85 and 493.31 is: 740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.21 : 1,835.85 = 493.31 : x
  2. Step 2: Convert to fraction form
    1,223.21/1,835.85 = 493.31/x
  3. Step 3: Cross multiply
    1,223.21x = 1,835.85 × 493.31
  4. Step 4: Simplify right side
    1,223.21x = 905,633.98
  5. Step 5: Solve for x
    x = 905,633.98/1,223.21
  6. Step 6: Final answer
    x = 740.38

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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.