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Finding the Fourth Proportional to 1,222.02, 1,833.09 and 356.34

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Solution

The fourth proportional to 1,222.02, 1,833.09 and 356.34 is: 534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.02 : 1,833.09 = 356.34 : x
  2. Step 2: Convert to fraction form
    1,222.02/1,833.09 = 356.34/x
  3. Step 3: Cross multiply
    1,222.02x = 1,833.09 × 356.34
  4. Step 4: Simplify right side
    1,222.02x = 653,203.29
  5. Step 5: Solve for x
    x = 653,203.29/1,222.02
  6. Step 6: Final answer
    x = 534.53

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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.