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Finding the Fourth Proportional to 911.34, 1,367.43 and 478.47

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Solution

The fourth proportional to 911.34, 1,367.43 and 478.47 is: 717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.34 : 1,367.43 = 478.47 : x
  2. Step 2: Convert to fraction form
    911.34/1,367.43 = 478.47/x
  3. Step 3: Cross multiply
    911.34x = 1,367.43 × 478.47
  4. Step 4: Simplify right side
    911.34x = 654,274.23
  5. Step 5: Solve for x
    x = 654,274.23/911.34
  6. Step 6: Final answer
    x = 717.93

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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.