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Finding the Fourth Proportional to 1,223.22, 1,835.40 and 493.26

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Solution

The fourth proportional to 1,223.22, 1,835.40 and 493.26 is: 740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.22 : 1,835.40 = 493.26 : x
  2. Step 2: Convert to fraction form
    1,223.22/1,835.40 = 493.26/x
  3. Step 3: Cross multiply
    1,223.22x = 1,835.40 × 493.26
  4. Step 4: Simplify right side
    1,223.22x = 905,329.40
  5. Step 5: Solve for x
    x = 905,329.40/1,223.22
  6. Step 6: Final answer
    x = 740.12

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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.