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Finding the Fourth Proportional to 782.13, 1,172.65 and 371.04

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Solution

The fourth proportional to 782.13, 1,172.65 and 371.04 is: 556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.13 : 1,172.65 = 371.04 : x
  2. Step 2: Convert to fraction form
    782.13/1,172.65 = 371.04/x
  3. Step 3: Cross multiply
    782.13x = 1,172.65 × 371.04
  4. Step 4: Simplify right side
    782.13x = 435,100.06
  5. Step 5: Solve for x
    x = 435,100.06/782.13
  6. Step 6: Final answer
    x = 556.30

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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.