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Finding the Fourth Proportional to 1,014.21, 1,399.59 and 664.88

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Solution

The fourth proportional to 1,014.21, 1,399.59 and 664.88 is: 917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.21 : 1,399.59 = 664.88 : x
  2. Step 2: Convert to fraction form
    1,014.21/1,399.59 = 664.88/x
  3. Step 3: Cross multiply
    1,014.21x = 1,399.59 × 664.88
  4. Step 4: Simplify right side
    1,014.21x = 930,552.40
  5. Step 5: Solve for x
    x = 930,552.40/1,014.21
  6. Step 6: Final answer
    x = 917.51

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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.