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Finding the Fourth Proportional to 1,222.32, 1,833.29 and 356.43

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Solution

The fourth proportional to 1,222.32, 1,833.29 and 356.43 is: 534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.32 : 1,833.29 = 356.43 : x
  2. Step 2: Convert to fraction form
    1,222.32/1,833.29 = 356.43/x
  3. Step 3: Cross multiply
    1,222.32x = 1,833.29 × 356.43
  4. Step 4: Simplify right side
    1,222.32x = 653,437.77
  5. Step 5: Solve for x
    x = 653,437.77/1,222.32
  6. Step 6: Final answer
    x = 534.59

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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.