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Finding the Fourth Proportional to 1,223.22, 1,834.96 and 357.54

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Solution

The fourth proportional to 1,223.22, 1,834.96 and 357.54 is: 536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.22 : 1,834.96 = 357.54 : x
  2. Step 2: Convert to fraction form
    1,223.22/1,834.96 = 357.54/x
  3. Step 3: Cross multiply
    1,223.22x = 1,834.96 × 357.54
  4. Step 4: Simplify right side
    1,223.22x = 656,071.60
  5. Step 5: Solve for x
    x = 656,071.60/1,223.22
  6. Step 6: Final answer
    x = 536.35

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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.