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Finding the Fourth Proportional to 911.15, 1,367.54 and 424.47

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Solution

The fourth proportional to 911.15, 1,367.54 and 424.47 is: 637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.15 : 1,367.54 = 424.47 : x
  2. Step 2: Convert to fraction form
    911.15/1,367.54 = 424.47/x
  3. Step 3: Cross multiply
    911.15x = 1,367.54 × 424.47
  4. Step 4: Simplify right side
    911.15x = 580,477.58
  5. Step 5: Solve for x
    x = 580,477.58/911.15
  6. Step 6: Final answer
    x = 637.09

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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.