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Finding the Fourth Proportional to 969.62, 1,338.54 and 690.44

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Solution

The fourth proportional to 969.62, 1,338.54 and 690.44 is: 953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.62 : 1,338.54 = 690.44 : x
  2. Step 2: Convert to fraction form
    969.62/1,338.54 = 690.44/x
  3. Step 3: Cross multiply
    969.62x = 1,338.54 × 690.44
  4. Step 4: Simplify right side
    969.62x = 924,181.56
  5. Step 5: Solve for x
    x = 924,181.56/969.62
  6. Step 6: Final answer
    x = 953.14

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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.