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Finding the Fourth Proportional to 1,223.05, 1,834.58 and 357.37

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Solution

The fourth proportional to 1,223.05, 1,834.58 and 357.37 is: 536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.05 : 1,834.58 = 357.37 : x
  2. Step 2: Convert to fraction form
    1,223.05/1,834.58 = 357.37/x
  3. Step 3: Cross multiply
    1,223.05x = 1,834.58 × 357.37
  4. Step 4: Simplify right side
    1,223.05x = 655,623.85
  5. Step 5: Solve for x
    x = 655,623.85/1,223.05
  6. Step 6: Final answer
    x = 536.06

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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.