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Finding the Fourth Proportional to 994.56, 1,492 and 345.14

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Solution

The fourth proportional to 994.56, 1,492 and 345.14 is: 517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.56 : 1,492 = 345.14 : x
  2. Step 2: Convert to fraction form
    994.56/1,492 = 345.14/x
  3. Step 3: Cross multiply
    994.56x = 1,492 × 345.14
  4. Step 4: Simplify right side
    994.56x = 514,948.88
  5. Step 5: Solve for x
    x = 514,948.88/994.56
  6. Step 6: Final answer
    x = 517.77

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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.