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Finding the Fourth Proportional to 994.98, 1,493.25 and 688.98

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Solution

The fourth proportional to 994.98, 1,493.25 and 688.98 is: 1,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.98 : 1,493.25 = 688.98 : x
  2. Step 2: Convert to fraction form
    994.98/1,493.25 = 688.98/x
  3. Step 3: Cross multiply
    994.98x = 1,493.25 × 688.98
  4. Step 4: Simplify right side
    994.98x = 1,028,813.93
  5. Step 5: Solve for x
    x = 1,028,813.93/994.98
  6. Step 6: Final answer
    x = 1,034.00

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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.