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Finding the Fourth Proportional to 1,216.14, 1,820.56 and 782.38

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Solution

The fourth proportional to 1,216.14, 1,820.56 and 782.38 is: 1,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.14 : 1,820.56 = 782.38 : x
  2. Step 2: Convert to fraction form
    1,216.14/1,820.56 = 782.38/x
  3. Step 3: Cross multiply
    1,216.14x = 1,820.56 × 782.38
  4. Step 4: Simplify right side
    1,216.14x = 1,424,369.73
  5. Step 5: Solve for x
    x = 1,424,369.73/1,216.14
  6. Step 6: Final answer
    x = 1,171.22

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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.