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Finding the Fourth Proportional to 1,222.82, 1,834.50 and 357.20

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Solution

The fourth proportional to 1,222.82, 1,834.50 and 357.20 is: 535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.82 : 1,834.50 = 357.20 : x
  2. Step 2: Convert to fraction form
    1,222.82/1,834.50 = 357.20/x
  3. Step 3: Cross multiply
    1,222.82x = 1,834.50 × 357.20
  4. Step 4: Simplify right side
    1,222.82x = 655,283.40
  5. Step 5: Solve for x
    x = 655,283.40/1,222.82
  6. Step 6: Final answer
    x = 535.88

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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.