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Finding the Fourth Proportional to 736.16, 1,102.26 and 388.77

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Solution

The fourth proportional to 736.16, 1,102.26 and 388.77 is: 582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.16 : 1,102.26 = 388.77 : x
  2. Step 2: Convert to fraction form
    736.16/1,102.26 = 388.77/x
  3. Step 3: Cross multiply
    736.16x = 1,102.26 × 388.77
  4. Step 4: Simplify right side
    736.16x = 428,520.76
  5. Step 5: Solve for x
    x = 428,520.76/736.16
  6. Step 6: Final answer
    x = 582.11

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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.