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Finding the Fourth Proportional to 1,214.49, 1,676.22 and 690.54

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Solution

The fourth proportional to 1,214.49, 1,676.22 and 690.54 is: 953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.49 : 1,676.22 = 690.54 : x
  2. Step 2: Convert to fraction form
    1,214.49/1,676.22 = 690.54/x
  3. Step 3: Cross multiply
    1,214.49x = 1,676.22 × 690.54
  4. Step 4: Simplify right side
    1,214.49x = 1,157,496.96
  5. Step 5: Solve for x
    x = 1,157,496.96/1,214.49
  6. Step 6: Final answer
    x = 953.07

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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.