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Finding the Fourth Proportional to 1,516.49, 2,274.16 and 529.05

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Solution

The fourth proportional to 1,516.49, 2,274.16 and 529.05 is: 793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.49 : 2,274.16 = 529.05 : x
  2. Step 2: Convert to fraction form
    1,516.49/2,274.16 = 529.05/x
  3. Step 3: Cross multiply
    1,516.49x = 2,274.16 × 529.05
  4. Step 4: Simplify right side
    1,516.49x = 1,203,136.48
  5. Step 5: Solve for x
    x = 1,203,136.48/1,516.49
  6. Step 6: Final answer
    x = 793.37

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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.