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Finding the Fourth Proportional to 1,272.77, 1,909.23 and 407.09

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Solution

The fourth proportional to 1,272.77, 1,909.23 and 407.09 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.77 : 1,909.23 = 407.09 : x
  2. Step 2: Convert to fraction form
    1,272.77/1,909.23 = 407.09/x
  3. Step 3: Cross multiply
    1,272.77x = 1,909.23 × 407.09
  4. Step 4: Simplify right side
    1,272.77x = 777,228.44
  5. Step 5: Solve for x
    x = 777,228.44/1,272.77
  6. Step 6: Final answer
    x = 610.66

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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.