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Finding the Fourth Proportional to 738, 1,106.85 and 409.26

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Solution

The fourth proportional to 738, 1,106.85 and 409.26 is: 613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    738 : 1,106.85 = 409.26 : x
  2. Step 2: Convert to fraction form
    738/1,106.85 = 409.26/x
  3. Step 3: Cross multiply
    738x = 1,106.85 × 409.26
  4. Step 4: Simplify right side
    738x = 452,989.43
  5. Step 5: Solve for x
    x = 452,989.43/738
  6. Step 6: Final answer
    x = 613.81

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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.