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Finding the Fourth Proportional to 1,732.73, 2,599.46 and 637.17

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Solution

The fourth proportional to 1,732.73, 2,599.46 and 637.17 is: 955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.73 : 2,599.46 = 637.17 : x
  2. Step 2: Convert to fraction form
    1,732.73/2,599.46 = 637.17/x
  3. Step 3: Cross multiply
    1,732.73x = 2,599.46 × 637.17
  4. Step 4: Simplify right side
    1,732.73x = 1,656,299.52
  5. Step 5: Solve for x
    x = 1,656,299.52/1,732.73
  6. Step 6: Final answer
    x = 955.89

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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.