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Finding the Fourth Proportional to 994.67, 1,492.00 and 417.41

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Solution

The fourth proportional to 994.67, 1,492.00 and 417.41 is: 626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.67 : 1,492.00 = 417.41 : x
  2. Step 2: Convert to fraction form
    994.67/1,492.00 = 417.41/x
  3. Step 3: Cross multiply
    994.67x = 1,492.00 × 417.41
  4. Step 4: Simplify right side
    994.67x = 622,766.17
  5. Step 5: Solve for x
    x = 622,766.17/994.67
  6. Step 6: Final answer
    x = 626.11

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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.