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Finding the Fourth Proportional to 1,057.67, 1,459.41 and 664.42

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Solution

The fourth proportional to 1,057.67, 1,459.41 and 664.42 is: 916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.67 : 1,459.41 = 664.42 : x
  2. Step 2: Convert to fraction form
    1,057.67/1,459.41 = 664.42/x
  3. Step 3: Cross multiply
    1,057.67x = 1,459.41 × 664.42
  4. Step 4: Simplify right side
    1,057.67x = 969,659.20
  5. Step 5: Solve for x
    x = 969,659.20/1,057.67
  6. Step 6: Final answer
    x = 916.79

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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.