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Finding the Fourth Proportional to 628.82, 867.86 and 601.13

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Solution

The fourth proportional to 628.82, 867.86 and 601.13 is: 829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.82 : 867.86 = 601.13 : x
  2. Step 2: Convert to fraction form
    628.82/867.86 = 601.13/x
  3. Step 3: Cross multiply
    628.82x = 867.86 × 601.13
  4. Step 4: Simplify right side
    628.82x = 521,696.68
  5. Step 5: Solve for x
    x = 521,696.68/628.82
  6. Step 6: Final answer
    x = 829.65

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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.