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Finding the Fourth Proportional to 994.26, 1,491.27 and 507.66

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Solution

The fourth proportional to 994.26, 1,491.27 and 507.66 is: 761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.26 : 1,491.27 = 507.66 : x
  2. Step 2: Convert to fraction form
    994.26/1,491.27 = 507.66/x
  3. Step 3: Cross multiply
    994.26x = 1,491.27 × 507.66
  4. Step 4: Simplify right side
    994.26x = 757,058.13
  5. Step 5: Solve for x
    x = 757,058.13/994.26
  6. Step 6: Final answer
    x = 761.43

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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.