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Finding the Fourth Proportional to 1,044.15, 1,566.21 and 274.65

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Solution

The fourth proportional to 1,044.15, 1,566.21 and 274.65 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.15 : 1,566.21 = 274.65 : x
  2. Step 2: Convert to fraction form
    1,044.15/1,566.21 = 274.65/x
  3. Step 3: Cross multiply
    1,044.15x = 1,566.21 × 274.65
  4. Step 4: Simplify right side
    1,044.15x = 430,154.73
  5. Step 5: Solve for x
    x = 430,154.73/1,044.15
  6. Step 6: Final answer
    x = 411.97

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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.