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Finding the Fourth Proportional to 1,167.98, 1,611.81 and 644.00

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Solution

The fourth proportional to 1,167.98, 1,611.81 and 644.00 is: 888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.98 : 1,611.81 = 644.00 : x
  2. Step 2: Convert to fraction form
    1,167.98/1,611.81 = 644.00/x
  3. Step 3: Cross multiply
    1,167.98x = 1,611.81 × 644.00
  4. Step 4: Simplify right side
    1,167.98x = 1,038,009.67
  5. Step 5: Solve for x
    x = 1,038,009.67/1,167.98
  6. Step 6: Final answer
    x = 888.73

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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.