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Finding the Fourth Proportional to 1,273.02, 1,909.73 and 407.13

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Solution

The fourth proportional to 1,273.02, 1,909.73 and 407.13 is: 610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.02 : 1,909.73 = 407.13 : x
  2. Step 2: Convert to fraction form
    1,273.02/1,909.73 = 407.13/x
  3. Step 3: Cross multiply
    1,273.02x = 1,909.73 × 407.13
  4. Step 4: Simplify right side
    1,273.02x = 777,508.37
  5. Step 5: Solve for x
    x = 777,508.37/1,273.02
  6. Step 6: Final answer
    x = 610.76

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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.