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Finding the Fourth Proportional to 911.47, 1,367.65 and 391.31

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Solution

The fourth proportional to 911.47, 1,367.65 and 391.31 is: 587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.47 : 1,367.65 = 391.31 : x
  2. Step 2: Convert to fraction form
    911.47/1,367.65 = 391.31/x
  3. Step 3: Cross multiply
    911.47x = 1,367.65 × 391.31
  4. Step 4: Simplify right side
    911.47x = 535,173.16
  5. Step 5: Solve for x
    x = 535,173.16/911.47
  6. Step 6: Final answer
    x = 587.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.