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Finding the Fourth Proportional to 1,223.35, 1,835.26 and 492.53

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Solution

The fourth proportional to 1,223.35, 1,835.26 and 492.53 is: 738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.35 : 1,835.26 = 492.53 : x
  2. Step 2: Convert to fraction form
    1,223.35/1,835.26 = 492.53/x
  3. Step 3: Cross multiply
    1,223.35x = 1,835.26 × 492.53
  4. Step 4: Simplify right side
    1,223.35x = 903,920.52
  5. Step 5: Solve for x
    x = 903,920.52/1,223.35
  6. Step 6: Final answer
    x = 738.89

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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.