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Finding the Fourth Proportional to 1,371.84, 2,057.61 and 494.31

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Solution

The fourth proportional to 1,371.84, 2,057.61 and 494.31 is: 741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.84 : 2,057.61 = 494.31 : x
  2. Step 2: Convert to fraction form
    1,371.84/2,057.61 = 494.31/x
  3. Step 3: Cross multiply
    1,371.84x = 2,057.61 × 494.31
  4. Step 4: Simplify right side
    1,371.84x = 1,017,097.20
  5. Step 5: Solve for x
    x = 1,017,097.20/1,371.84
  6. Step 6: Final answer
    x = 741.41

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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.