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Finding the Fourth Proportional to 1,215.17, 1,676.50 and 795.77

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Solution

The fourth proportional to 1,215.17, 1,676.50 and 795.77 is: 1,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.17 : 1,676.50 = 795.77 : x
  2. Step 2: Convert to fraction form
    1,215.17/1,676.50 = 795.77/x
  3. Step 3: Cross multiply
    1,215.17x = 1,676.50 × 795.77
  4. Step 4: Simplify right side
    1,215.17x = 1,334,107.30
  5. Step 5: Solve for x
    x = 1,334,107.30/1,215.17
  6. Step 6: Final answer
    x = 1,097.87

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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.