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Finding the Fourth Proportional to 1,516.22, 2,274.42 and 529.03

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Solution

The fourth proportional to 1,516.22, 2,274.42 and 529.03 is: 793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.22 : 2,274.42 = 529.03 : x
  2. Step 2: Convert to fraction form
    1,516.22/2,274.42 = 529.03/x
  3. Step 3: Cross multiply
    1,516.22x = 2,274.42 × 529.03
  4. Step 4: Simplify right side
    1,516.22x = 1,203,225.04
  5. Step 5: Solve for x
    x = 1,203,225.04/1,516.22
  6. Step 6: Final answer
    x = 793.57

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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.