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Finding the Fourth Proportional to 736.26, 1,103.73 and 476.46

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Solution

The fourth proportional to 736.26, 1,103.73 and 476.46 is: 714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.26 : 1,103.73 = 476.46 : x
  2. Step 2: Convert to fraction form
    736.26/1,103.73 = 476.46/x
  3. Step 3: Cross multiply
    736.26x = 1,103.73 × 476.46
  4. Step 4: Simplify right side
    736.26x = 525,883.20
  5. Step 5: Solve for x
    x = 525,883.20/736.26
  6. Step 6: Final answer
    x = 714.26

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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.