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Finding the Fourth Proportional to 1,219.14, 1,682.46 and 776.88

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Solution

The fourth proportional to 1,219.14, 1,682.46 and 776.88 is: 1,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.14 : 1,682.46 = 776.88 : x
  2. Step 2: Convert to fraction form
    1,219.14/1,682.46 = 776.88/x
  3. Step 3: Cross multiply
    1,219.14x = 1,682.46 × 776.88
  4. Step 4: Simplify right side
    1,219.14x = 1,307,069.52
  5. Step 5: Solve for x
    x = 1,307,069.52/1,219.14
  6. Step 6: Final answer
    x = 1,072.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.