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Finding the Fourth Proportional to 994.40, 1,491.84 and 507.44

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Solution

The fourth proportional to 994.40, 1,491.84 and 507.44 is: 761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.40 : 1,491.84 = 507.44 : x
  2. Step 2: Convert to fraction form
    994.40/1,491.84 = 507.44/x
  3. Step 3: Cross multiply
    994.40x = 1,491.84 × 507.44
  4. Step 4: Simplify right side
    994.40x = 757,019.29
  5. Step 5: Solve for x
    x = 757,019.29/994.40
  6. Step 6: Final answer
    x = 761.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.