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Finding the Fourth Proportional to 994.91, 1,491.44 and 507.40

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Solution

The fourth proportional to 994.91, 1,491.44 and 507.40 is: 760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.91 : 1,491.44 = 507.40 : x
  2. Step 2: Convert to fraction form
    994.91/1,491.44 = 507.40/x
  3. Step 3: Cross multiply
    994.91x = 1,491.44 × 507.40
  4. Step 4: Simplify right side
    994.91x = 756,750.39
  5. Step 5: Solve for x
    x = 756,750.39/994.91
  6. Step 6: Final answer
    x = 760.63

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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.