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Finding the Fourth Proportional to 1,664.30, 2,496.69 and 568.85

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Solution

The fourth proportional to 1,664.30, 2,496.69 and 568.85 is: 853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.30 : 2,496.69 = 568.85 : x
  2. Step 2: Convert to fraction form
    1,664.30/2,496.69 = 568.85/x
  3. Step 3: Cross multiply
    1,664.30x = 2,496.69 × 568.85
  4. Step 4: Simplify right side
    1,664.30x = 1,420,242.11
  5. Step 5: Solve for x
    x = 1,420,242.11/1,664.30
  6. Step 6: Final answer
    x = 853.36

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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.