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Finding the Fourth Proportional to 1,216.17, 1,677.31 and 773.30

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Solution

The fourth proportional to 1,216.17, 1,677.31 and 773.30 is: 1,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.17 : 1,677.31 = 773.30 : x
  2. Step 2: Convert to fraction form
    1,216.17/1,677.31 = 773.30/x
  3. Step 3: Cross multiply
    1,216.17x = 1,677.31 × 773.30
  4. Step 4: Simplify right side
    1,216.17x = 1,297,051.57
  5. Step 5: Solve for x
    x = 1,297,051.57/1,216.17
  6. Step 6: Final answer
    x = 1,066.51

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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.