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Finding the Fourth Proportional to 1,333.83, 1,997.33 and 986.65

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Solution

The fourth proportional to 1,333.83, 1,997.33 and 986.65 is: 1,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.83 : 1,997.33 = 986.65 : x
  2. Step 2: Convert to fraction form
    1,333.83/1,997.33 = 986.65/x
  3. Step 3: Cross multiply
    1,333.83x = 1,997.33 × 986.65
  4. Step 4: Simplify right side
    1,333.83x = 1,970,655.72
  5. Step 5: Solve for x
    x = 1,970,655.72/1,333.83
  6. Step 6: Final answer
    x = 1,477.44

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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.