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Finding the Fourth Proportional to 1,272.53, 1,909.12 and 406.84

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Solution

The fourth proportional to 1,272.53, 1,909.12 and 406.84 is: 610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.53 : 1,909.12 = 406.84 : x
  2. Step 2: Convert to fraction form
    1,272.53/1,909.12 = 406.84/x
  3. Step 3: Cross multiply
    1,272.53x = 1,909.12 × 406.84
  4. Step 4: Simplify right side
    1,272.53x = 776,706.38
  5. Step 5: Solve for x
    x = 776,706.38/1,272.53
  6. Step 6: Final answer
    x = 610.36

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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.