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Finding the Fourth Proportional to 1,516.50, 2,274.87 and 490.50

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Solution

The fourth proportional to 1,516.50, 2,274.87 and 490.50 is: 735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.50 : 2,274.87 = 490.50 : x
  2. Step 2: Convert to fraction form
    1,516.50/2,274.87 = 490.50/x
  3. Step 3: Cross multiply
    1,516.50x = 2,274.87 × 490.50
  4. Step 4: Simplify right side
    1,516.50x = 1,115,823.74
  5. Step 5: Solve for x
    x = 1,115,823.74/1,516.50
  6. Step 6: Final answer
    x = 735.79

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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.