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Finding the Fourth Proportional to 922.82, 1,383.26 and 690.08

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Solution

The fourth proportional to 922.82, 1,383.26 and 690.08 is: 1,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.82 : 1,383.26 = 690.08 : x
  2. Step 2: Convert to fraction form
    922.82/1,383.26 = 690.08/x
  3. Step 3: Cross multiply
    922.82x = 1,383.26 × 690.08
  4. Step 4: Simplify right side
    922.82x = 954,560.06
  5. Step 5: Solve for x
    x = 954,560.06/922.82
  6. Step 6: Final answer
    x = 1,034.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.