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Finding the Fourth Proportional to 687.54, 949.52 and 628.31

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Solution

The fourth proportional to 687.54, 949.52 and 628.31 is: 867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.54 : 949.52 = 628.31 : x
  2. Step 2: Convert to fraction form
    687.54/949.52 = 628.31/x
  3. Step 3: Cross multiply
    687.54x = 949.52 × 628.31
  4. Step 4: Simplify right side
    687.54x = 596,591.51
  5. Step 5: Solve for x
    x = 596,591.51/687.54
  6. Step 6: Final answer
    x = 867.72

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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.