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Finding the Fourth Proportional to 1,216.21, 1,677.48 and 795.89

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Solution

The fourth proportional to 1,216.21, 1,677.48 and 795.89 is: 1,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.21 : 1,677.48 = 795.89 : x
  2. Step 2: Convert to fraction form
    1,216.21/1,677.48 = 795.89/x
  3. Step 3: Cross multiply
    1,216.21x = 1,677.48 × 795.89
  4. Step 4: Simplify right side
    1,216.21x = 1,335,089.56
  5. Step 5: Solve for x
    x = 1,335,089.56/1,216.21
  6. Step 6: Final answer
    x = 1,097.75

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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.