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Finding the Fourth Proportional to 1,057.82, 1,459.15 and 664.52

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Solution

The fourth proportional to 1,057.82, 1,459.15 and 664.52 is: 916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.82 : 1,459.15 = 664.52 : x
  2. Step 2: Convert to fraction form
    1,057.82/1,459.15 = 664.52/x
  3. Step 3: Cross multiply
    1,057.82x = 1,459.15 × 664.52
  4. Step 4: Simplify right side
    1,057.82x = 969,625.40
  5. Step 5: Solve for x
    x = 969,625.40/1,057.82
  6. Step 6: Final answer
    x = 916.63

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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.