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Finding the Fourth Proportional to 1,057.85, 1,459.60 and 664.95

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Solution

The fourth proportional to 1,057.85, 1,459.60 and 664.95 is: 917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.85 : 1,459.60 = 664.95 : x
  2. Step 2: Convert to fraction form
    1,057.85/1,459.60 = 664.95/x
  3. Step 3: Cross multiply
    1,057.85x = 1,459.60 × 664.95
  4. Step 4: Simplify right side
    1,057.85x = 970,561.02
  5. Step 5: Solve for x
    x = 970,561.02/1,057.85
  6. Step 6: Final answer
    x = 917.48

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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.