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Finding the Fourth Proportional to 994.06, 1,491.90 and 507.43

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Solution

The fourth proportional to 994.06, 1,491.90 and 507.43 is: 761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.06 : 1,491.90 = 507.43 : x
  2. Step 2: Convert to fraction form
    994.06/1,491.90 = 507.43/x
  3. Step 3: Cross multiply
    994.06x = 1,491.90 × 507.43
  4. Step 4: Simplify right side
    994.06x = 757,034.82
  5. Step 5: Solve for x
    x = 757,034.82/994.06
  6. Step 6: Final answer
    x = 761.56

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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.