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Finding the Fourth Proportional to 994.36, 1,492.40 and 670.12

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Solution

The fourth proportional to 994.36, 1,492.40 and 670.12 is: 1,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.36 : 1,492.40 = 670.12 : x
  2. Step 2: Convert to fraction form
    994.36/1,492.40 = 670.12/x
  3. Step 3: Cross multiply
    994.36x = 1,492.40 × 670.12
  4. Step 4: Simplify right side
    994.36x = 1,000,087.09
  5. Step 5: Solve for x
    x = 1,000,087.09/994.36
  6. Step 6: Final answer
    x = 1,005.76

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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.