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Finding the Fourth Proportional to 1,223.09, 1,834.02 and 492.47

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Solution

The fourth proportional to 1,223.09, 1,834.02 and 492.47 is: 738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.09 : 1,834.02 = 492.47 : x
  2. Step 2: Convert to fraction form
    1,223.09/1,834.02 = 492.47/x
  3. Step 3: Cross multiply
    1,223.09x = 1,834.02 × 492.47
  4. Step 4: Simplify right side
    1,223.09x = 903,197.54
  5. Step 5: Solve for x
    x = 903,197.54/1,223.09
  6. Step 6: Final answer
    x = 738.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.