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Finding the Fourth Proportional to 1,406.37, 2,108.40 and 665.62

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Solution

The fourth proportional to 1,406.37, 2,108.40 and 665.62 is: 997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.37 : 2,108.40 = 665.62 : x
  2. Step 2: Convert to fraction form
    1,406.37/2,108.40 = 665.62/x
  3. Step 3: Cross multiply
    1,406.37x = 2,108.40 × 665.62
  4. Step 4: Simplify right side
    1,406.37x = 1,403,393.21
  5. Step 5: Solve for x
    x = 1,403,393.21/1,406.37
  6. Step 6: Final answer
    x = 997.88

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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.