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Finding the Fourth Proportional to 1,214.82, 1,676.75 and 691.16

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Solution

The fourth proportional to 1,214.82, 1,676.75 and 691.16 is: 953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.82 : 1,676.75 = 691.16 : x
  2. Step 2: Convert to fraction form
    1,214.82/1,676.75 = 691.16/x
  3. Step 3: Cross multiply
    1,214.82x = 1,676.75 × 691.16
  4. Step 4: Simplify right side
    1,214.82x = 1,158,890.69
  5. Step 5: Solve for x
    x = 1,158,890.69/1,214.82
  6. Step 6: Final answer
    x = 953.96

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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.