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Finding the Fourth Proportional to 1,057.87, 1,459.22 and 698.96

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Solution

The fourth proportional to 1,057.87, 1,459.22 and 698.96 is: 964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.87 : 1,459.22 = 698.96 : x
  2. Step 2: Convert to fraction form
    1,057.87/1,459.22 = 698.96/x
  3. Step 3: Cross multiply
    1,057.87x = 1,459.22 × 698.96
  4. Step 4: Simplify right side
    1,057.87x = 1,019,936.41
  5. Step 5: Solve for x
    x = 1,019,936.41/1,057.87
  6. Step 6: Final answer
    x = 964.14

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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.