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Finding the Fourth Proportional to 1,272.93, 1,909.36 and 407.23

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Solution

The fourth proportional to 1,272.93, 1,909.36 and 407.23 is: 610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.93 : 1,909.36 = 407.23 : x
  2. Step 2: Convert to fraction form
    1,272.93/1,909.36 = 407.23/x
  3. Step 3: Cross multiply
    1,272.93x = 1,909.36 × 407.23
  4. Step 4: Simplify right side
    1,272.93x = 777,548.67
  5. Step 5: Solve for x
    x = 777,548.67/1,272.93
  6. Step 6: Final answer
    x = 610.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.