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Finding the Fourth Proportional to 1,216.63, 1,678.71 and 774.28

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Solution

The fourth proportional to 1,216.63, 1,678.71 and 774.28 is: 1,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.63 : 1,678.71 = 774.28 : x
  2. Step 2: Convert to fraction form
    1,216.63/1,678.71 = 774.28/x
  3. Step 3: Cross multiply
    1,216.63x = 1,678.71 × 774.28
  4. Step 4: Simplify right side
    1,216.63x = 1,299,791.58
  5. Step 5: Solve for x
    x = 1,299,791.58/1,216.63
  6. Step 6: Final answer
    x = 1,068.35

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