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Finding the Fourth Proportional to 1,057.82, 1,459.96 and 664.88

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Solution

The fourth proportional to 1,057.82, 1,459.96 and 664.88 is: 917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.82 : 1,459.96 = 664.88 : x
  2. Step 2: Convert to fraction form
    1,057.82/1,459.96 = 664.88/x
  3. Step 3: Cross multiply
    1,057.82x = 1,459.96 × 664.88
  4. Step 4: Simplify right side
    1,057.82x = 970,698.20
  5. Step 5: Solve for x
    x = 970,698.20/1,057.82
  6. Step 6: Final answer
    x = 917.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.