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Finding the Fourth Proportional to 994.96, 1,492.44 and 417.44

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Solution

The fourth proportional to 994.96, 1,492.44 and 417.44 is: 626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.96 : 1,492.44 = 417.44 : x
  2. Step 2: Convert to fraction form
    994.96/1,492.44 = 417.44/x
  3. Step 3: Cross multiply
    994.96x = 1,492.44 × 417.44
  4. Step 4: Simplify right side
    994.96x = 623,004.15
  5. Step 5: Solve for x
    x = 623,004.15/994.96
  6. Step 6: Final answer
    x = 626.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.