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Finding the Fourth Proportional to 1,214.54, 1,676.09 and 690.47

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Solution

The fourth proportional to 1,214.54, 1,676.09 and 690.47 is: 952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.54 : 1,676.09 = 690.47 : x
  2. Step 2: Convert to fraction form
    1,214.54/1,676.09 = 690.47/x
  3. Step 3: Cross multiply
    1,214.54x = 1,676.09 × 690.47
  4. Step 4: Simplify right side
    1,214.54x = 1,157,290.60
  5. Step 5: Solve for x
    x = 1,157,290.60/1,214.54
  6. Step 6: Final answer
    x = 952.86

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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.