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Finding the Fourth Proportional to 1,732.26, 2,598.36 and 433.73

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Solution

The fourth proportional to 1,732.26, 2,598.36 and 433.73 is: 650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.26 : 2,598.36 = 433.73 : x
  2. Step 2: Convert to fraction form
    1,732.26/2,598.36 = 433.73/x
  3. Step 3: Cross multiply
    1,732.26x = 2,598.36 × 433.73
  4. Step 4: Simplify right side
    1,732.26x = 1,126,973.69
  5. Step 5: Solve for x
    x = 1,126,973.69/1,732.26
  6. Step 6: Final answer
    x = 650.58

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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.