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Finding the Fourth Proportional to 968.14, 1,452.63 and 690.82

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Solution

The fourth proportional to 968.14, 1,452.63 and 690.82 is: 1,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.14 : 1,452.63 = 690.82 : x
  2. Step 2: Convert to fraction form
    968.14/1,452.63 = 690.82/x
  3. Step 3: Cross multiply
    968.14x = 1,452.63 × 690.82
  4. Step 4: Simplify right side
    968.14x = 1,003,505.86
  5. Step 5: Solve for x
    x = 1,003,505.86/968.14
  6. Step 6: Final answer
    x = 1,036.53

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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.