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Finding the Fourth Proportional to 994, 1,371.84 and 644.98

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Solution

The fourth proportional to 994, 1,371.84 and 644.98 is: 890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    994 : 1,371.84 = 644.98 : x
  2. Step 2: Convert to fraction form
    994/1,371.84 = 644.98/x
  3. Step 3: Cross multiply
    994x = 1,371.84 × 644.98
  4. Step 4: Simplify right side
    994x = 884,809.36
  5. Step 5: Solve for x
    x = 884,809.36/994
  6. Step 6: Final answer
    x = 890.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.