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Finding the Fourth Proportional to 994.61, 1,492.20 and 446.78

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Solution

The fourth proportional to 994.61, 1,492.20 and 446.78 is: 670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.61 : 1,492.20 = 446.78 : x
  2. Step 2: Convert to fraction form
    994.61/1,492.20 = 446.78/x
  3. Step 3: Cross multiply
    994.61x = 1,492.20 × 446.78
  4. Step 4: Simplify right side
    994.61x = 666,688.85
  5. Step 5: Solve for x
    x = 666,688.85/994.61
  6. Step 6: Final answer
    x = 670.30

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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.