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Finding the Fourth Proportional to 1,664.42, 2,496.32 and 676.99

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Solution

The fourth proportional to 1,664.42, 2,496.32 and 676.99 is: 1,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.42 : 2,496.32 = 676.99 : x
  2. Step 2: Convert to fraction form
    1,664.42/2,496.32 = 676.99/x
  3. Step 3: Cross multiply
    1,664.42x = 2,496.32 × 676.99
  4. Step 4: Simplify right side
    1,664.42x = 1,689,985.95
  5. Step 5: Solve for x
    x = 1,689,985.95/1,664.42
  6. Step 6: Final answer
    x = 1,015.36

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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.