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Finding the Fourth Proportional to 738.82, 1,108.17 and 414.10

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Solution

The fourth proportional to 738.82, 1,108.17 and 414.10 is: 621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.82 : 1,108.17 = 414.10 : x
  2. Step 2: Convert to fraction form
    738.82/1,108.17 = 414.10/x
  3. Step 3: Cross multiply
    738.82x = 1,108.17 × 414.10
  4. Step 4: Simplify right side
    738.82x = 458,893.20
  5. Step 5: Solve for x
    x = 458,893.20/738.82
  6. Step 6: Final answer
    x = 621.12

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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.