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Finding the Fourth Proportional to 934.62, 1,399.92 and 830.76

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Solution

The fourth proportional to 934.62, 1,399.92 and 830.76 is: 1,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.62 : 1,399.92 = 830.76 : x
  2. Step 2: Convert to fraction form
    934.62/1,399.92 = 830.76/x
  3. Step 3: Cross multiply
    934.62x = 1,399.92 × 830.76
  4. Step 4: Simplify right side
    934.62x = 1,162,997.54
  5. Step 5: Solve for x
    x = 1,162,997.54/934.62
  6. Step 6: Final answer
    x = 1,244.35

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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.