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Finding the Fourth Proportional to 994.98, 1,491.47 and 378.53

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Solution

The fourth proportional to 994.98, 1,491.47 and 378.53 is: 567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.98 : 1,491.47 = 378.53 : x
  2. Step 2: Convert to fraction form
    994.98/1,491.47 = 378.53/x
  3. Step 3: Cross multiply
    994.98x = 1,491.47 × 378.53
  4. Step 4: Simplify right side
    994.98x = 564,566.14
  5. Step 5: Solve for x
    x = 564,566.14/994.98
  6. Step 6: Final answer
    x = 567.41

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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.