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Finding the Fourth Proportional to 738.54, 1,108.62 and 414.54

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Solution

The fourth proportional to 738.54, 1,108.62 and 414.54 is: 622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.54 : 1,108.62 = 414.54 : x
  2. Step 2: Convert to fraction form
    738.54/1,108.62 = 414.54/x
  3. Step 3: Cross multiply
    738.54x = 1,108.62 × 414.54
  4. Step 4: Simplify right side
    738.54x = 459,567.33
  5. Step 5: Solve for x
    x = 459,567.33/738.54
  6. Step 6: Final answer
    x = 622.26

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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.