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Finding the Fourth Proportional to 1,044.73, 1,567.11 and 275.23

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Solution

The fourth proportional to 1,044.73, 1,567.11 and 275.23 is: 412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.73 : 1,567.11 = 275.23 : x
  2. Step 2: Convert to fraction form
    1,044.73/1,567.11 = 275.23/x
  3. Step 3: Cross multiply
    1,044.73x = 1,567.11 × 275.23
  4. Step 4: Simplify right side
    1,044.73x = 431,315.69
  5. Step 5: Solve for x
    x = 431,315.69/1,044.73
  6. Step 6: Final answer
    x = 412.85

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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.