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Finding the Fourth Proportional to 736.84, 1,105.62 and 352.12

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Solution

The fourth proportional to 736.84, 1,105.62 and 352.12 is: 528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.84 : 1,105.62 = 352.12 : x
  2. Step 2: Convert to fraction form
    736.84/1,105.62 = 352.12/x
  3. Step 3: Cross multiply
    736.84x = 1,105.62 × 352.12
  4. Step 4: Simplify right side
    736.84x = 389,310.91
  5. Step 5: Solve for x
    x = 389,310.91/736.84
  6. Step 6: Final answer
    x = 528.35

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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.