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Finding the Fourth Proportional to 1,272.80, 1,909.14 and 965.22

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Solution

The fourth proportional to 1,272.80, 1,909.14 and 965.22 is: 1,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.80 : 1,909.14 = 965.22 : x
  2. Step 2: Convert to fraction form
    1,272.80/1,909.14 = 965.22/x
  3. Step 3: Cross multiply
    1,272.80x = 1,909.14 × 965.22
  4. Step 4: Simplify right side
    1,272.80x = 1,842,740.11
  5. Step 5: Solve for x
    x = 1,842,740.11/1,272.80
  6. Step 6: Final answer
    x = 1,447.78

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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.