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Finding the Fourth Proportional to 738.94, 1,108.68 and 414.22

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Solution

The fourth proportional to 738.94, 1,108.68 and 414.22 is: 621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.94 : 1,108.68 = 414.22 : x
  2. Step 2: Convert to fraction form
    738.94/1,108.68 = 414.22/x
  3. Step 3: Cross multiply
    738.94x = 1,108.68 × 414.22
  4. Step 4: Simplify right side
    738.94x = 459,237.43
  5. Step 5: Solve for x
    x = 459,237.43/738.94
  6. Step 6: Final answer
    x = 621.48

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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.