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Finding the Fourth Proportional to 736.36, 1,103.32 and 461.77

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Solution

The fourth proportional to 736.36, 1,103.32 and 461.77 is: 691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.36 : 1,103.32 = 461.77 : x
  2. Step 2: Convert to fraction form
    736.36/1,103.32 = 461.77/x
  3. Step 3: Cross multiply
    736.36x = 1,103.32 × 461.77
  4. Step 4: Simplify right side
    736.36x = 509,477.90
  5. Step 5: Solve for x
    x = 509,477.90/736.36
  6. Step 6: Final answer
    x = 691.89

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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.