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Finding the Fourth Proportional to 1,732.78, 2,599.48 and 622.48

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Solution

The fourth proportional to 1,732.78, 2,599.48 and 622.48 is: 933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.78 : 2,599.48 = 622.48 : x
  2. Step 2: Convert to fraction form
    1,732.78/2,599.48 = 622.48/x
  3. Step 3: Cross multiply
    1,732.78x = 2,599.48 × 622.48
  4. Step 4: Simplify right side
    1,732.78x = 1,618,124.31
  5. Step 5: Solve for x
    x = 1,618,124.31/1,732.78
  6. Step 6: Final answer
    x = 933.83

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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.