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Finding the Fourth Proportional to 1,272.75, 1,909.10 and 348.23

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Solution

The fourth proportional to 1,272.75, 1,909.10 and 348.23 is: 522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.75 : 1,909.10 = 348.23 : x
  2. Step 2: Convert to fraction form
    1,272.75/1,909.10 = 348.23/x
  3. Step 3: Cross multiply
    1,272.75x = 1,909.10 × 348.23
  4. Step 4: Simplify right side
    1,272.75x = 664,805.89
  5. Step 5: Solve for x
    x = 664,805.89/1,272.75
  6. Step 6: Final answer
    x = 522.34

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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.