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Finding the Fourth Proportional to 934.60, 1,401.90 and 830.20

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Solution

The fourth proportional to 934.60, 1,401.90 and 830.20 is: 1,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.60 : 1,401.90 = 830.20 : x
  2. Step 2: Convert to fraction form
    934.60/1,401.90 = 830.20/x
  3. Step 3: Cross multiply
    934.60x = 1,401.90 × 830.20
  4. Step 4: Simplify right side
    934.60x = 1,163,857.38
  5. Step 5: Solve for x
    x = 1,163,857.38/934.60
  6. Step 6: Final answer
    x = 1,245.30

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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.