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Finding the Fourth Proportional to 1,057.58, 1,451.14 and 1,039.12

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Solution

The fourth proportional to 1,057.58, 1,451.14 and 1,039.12 is: 1,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.58 : 1,451.14 = 1,039.12 : x
  2. Step 2: Convert to fraction form
    1,057.58/1,451.14 = 1,039.12/x
  3. Step 3: Cross multiply
    1,057.58x = 1,451.14 × 1,039.12
  4. Step 4: Simplify right side
    1,057.58x = 1,507,915.14
  5. Step 5: Solve for x
    x = 1,507,915.14/1,057.58
  6. Step 6: Final answer
    x = 1,425.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.