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Finding the Fourth Proportional to 744.36, 1,114.92 and 499.80

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Solution

The fourth proportional to 744.36, 1,114.92 and 499.80 is: 748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.36 : 1,114.92 = 499.80 : x
  2. Step 2: Convert to fraction form
    744.36/1,114.92 = 499.80/x
  3. Step 3: Cross multiply
    744.36x = 1,114.92 × 499.80
  4. Step 4: Simplify right side
    744.36x = 557,237.02
  5. Step 5: Solve for x
    x = 557,237.02/744.36
  6. Step 6: Final answer
    x = 748.61

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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.