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Finding the Fourth Proportional to 674.20, 931.40 and 628.10

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Solution

The fourth proportional to 674.20, 931.40 and 628.10 is: 867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.20 : 931.40 = 628.10 : x
  2. Step 2: Convert to fraction form
    674.20/931.40 = 628.10/x
  3. Step 3: Cross multiply
    674.20x = 931.40 × 628.10
  4. Step 4: Simplify right side
    674.20x = 585,009.20
  5. Step 5: Solve for x
    x = 585,009.20/674.20
  6. Step 6: Final answer
    x = 867.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.