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Finding the Fourth Proportional to 911.25, 1,257.89 and 601.65

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Solution

The fourth proportional to 911.25, 1,257.89 and 601.65 is: 830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.25 : 1,257.89 = 601.65 : x
  2. Step 2: Convert to fraction form
    911.25/1,257.89 = 601.65/x
  3. Step 3: Cross multiply
    911.25x = 1,257.89 × 601.65
  4. Step 4: Simplify right side
    911.25x = 756,806.51
  5. Step 5: Solve for x
    x = 756,806.51/911.25
  6. Step 6: Final answer
    x = 830.51

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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.