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Finding the Fourth Proportional to 782.43, 1,173.03 and 371.20

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Solution

The fourth proportional to 782.43, 1,173.03 and 371.20 is: 556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.43 : 1,173.03 = 371.20 : x
  2. Step 2: Convert to fraction form
    782.43/1,173.03 = 371.20/x
  3. Step 3: Cross multiply
    782.43x = 1,173.03 × 371.20
  4. Step 4: Simplify right side
    782.43x = 435,428.74
  5. Step 5: Solve for x
    x = 435,428.74/782.43
  6. Step 6: Final answer
    x = 556.51

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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.