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Finding the Fourth Proportional to 736.18, 1,015.97 and 404.64

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Solution

The fourth proportional to 736.18, 1,015.97 and 404.64 is: 558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.18 : 1,015.97 = 404.64 : x
  2. Step 2: Convert to fraction form
    736.18/1,015.97 = 404.64/x
  3. Step 3: Cross multiply
    736.18x = 1,015.97 × 404.64
  4. Step 4: Simplify right side
    736.18x = 411,102.10
  5. Step 5: Solve for x
    x = 411,102.10/736.18
  6. Step 6: Final answer
    x = 558.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.