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Finding the Fourth Proportional to 1,273.14, 1,909.98 and 407.25

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Solution

The fourth proportional to 1,273.14, 1,909.98 and 407.25 is: 610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.14 : 1,909.98 = 407.25 : x
  2. Step 2: Convert to fraction form
    1,273.14/1,909.98 = 407.25/x
  3. Step 3: Cross multiply
    1,273.14x = 1,909.98 × 407.25
  4. Step 4: Simplify right side
    1,273.14x = 777,839.36
  5. Step 5: Solve for x
    x = 777,839.36/1,273.14
  6. Step 6: Final answer
    x = 610.96

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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.