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Finding the Fourth Proportional to 994.52, 1,492.32 and 417.80

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Solution

The fourth proportional to 994.52, 1,492.32 and 417.80 is: 626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.52 : 1,492.32 = 417.80 : x
  2. Step 2: Convert to fraction form
    994.52/1,492.32 = 417.80/x
  3. Step 3: Cross multiply
    994.52x = 1,492.32 × 417.80
  4. Step 4: Simplify right side
    994.52x = 623,491.30
  5. Step 5: Solve for x
    x = 623,491.30/994.52
  6. Step 6: Final answer
    x = 626.93

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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.