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Finding the Fourth Proportional to 736.38, 1,102.53 and 504.78

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Solution

The fourth proportional to 736.38, 1,102.53 and 504.78 is: 755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.38 : 1,102.53 = 504.78 : x
  2. Step 2: Convert to fraction form
    736.38/1,102.53 = 504.78/x
  3. Step 3: Cross multiply
    736.38x = 1,102.53 × 504.78
  4. Step 4: Simplify right side
    736.38x = 556,535.09
  5. Step 5: Solve for x
    x = 556,535.09/736.38
  6. Step 6: Final answer
    x = 755.77

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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.