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Finding the Fourth Proportional to 1,273.84, 1,910.16 and 494.21

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Solution

The fourth proportional to 1,273.84, 1,910.16 and 494.21 is: 741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.84 : 1,910.16 = 494.21 : x
  2. Step 2: Convert to fraction form
    1,273.84/1,910.16 = 494.21/x
  3. Step 3: Cross multiply
    1,273.84x = 1,910.16 × 494.21
  4. Step 4: Simplify right side
    1,273.84x = 944,015.93
  5. Step 5: Solve for x
    x = 944,015.93/1,273.84
  6. Step 6: Final answer
    x = 741.08

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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.