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Finding the Fourth Proportional to 732.69, 1,095.09 and 674.31

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Solution

The fourth proportional to 732.69, 1,095.09 and 674.31 is: 1,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.69 : 1,095.09 = 674.31 : x
  2. Step 2: Convert to fraction form
    732.69/1,095.09 = 674.31/x
  3. Step 3: Cross multiply
    732.69x = 1,095.09 × 674.31
  4. Step 4: Simplify right side
    732.69x = 738,430.14
  5. Step 5: Solve for x
    x = 738,430.14/732.69
  6. Step 6: Final answer
    x = 1,007.83

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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.