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Finding the Fourth Proportional to 674.69, 1,010.69 and 340.13

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Solution

The fourth proportional to 674.69, 1,010.69 and 340.13 is: 509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.69 : 1,010.69 = 340.13 : x
  2. Step 2: Convert to fraction form
    674.69/1,010.69 = 340.13/x
  3. Step 3: Cross multiply
    674.69x = 1,010.69 × 340.13
  4. Step 4: Simplify right side
    674.69x = 343,765.99
  5. Step 5: Solve for x
    x = 343,765.99/674.69
  6. Step 6: Final answer
    x = 509.52

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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.