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Finding the Fourth Proportional to 1,273.86, 1,908.96 and 980.22

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Solution

The fourth proportional to 1,273.86, 1,908.96 and 980.22 is: 1,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.86 : 1,908.96 = 980.22 : x
  2. Step 2: Convert to fraction form
    1,273.86/1,908.96 = 980.22/x
  3. Step 3: Cross multiply
    1,273.86x = 1,908.96 × 980.22
  4. Step 4: Simplify right side
    1,273.86x = 1,871,200.77
  5. Step 5: Solve for x
    x = 1,871,200.77/1,273.86
  6. Step 6: Final answer
    x = 1,468.92

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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.