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Finding the Fourth Proportional to 697.73, 1,042.50 and 673.52

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Solution

The fourth proportional to 697.73, 1,042.50 and 673.52 is: 1,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.73 : 1,042.50 = 673.52 : x
  2. Step 2: Convert to fraction form
    697.73/1,042.50 = 673.52/x
  3. Step 3: Cross multiply
    697.73x = 1,042.50 × 673.52
  4. Step 4: Simplify right side
    697.73x = 702,144.60
  5. Step 5: Solve for x
    x = 702,144.60/697.73
  6. Step 6: Final answer
    x = 1,006.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.