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Finding the Fourth Proportional to 1,254.45, 1,729.44 and 1,057.62

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Solution

The fourth proportional to 1,254.45, 1,729.44 and 1,057.62 is: 1,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.45 : 1,729.44 = 1,057.62 : x
  2. Step 2: Convert to fraction form
    1,254.45/1,729.44 = 1,057.62/x
  3. Step 3: Cross multiply
    1,254.45x = 1,729.44 × 1,057.62
  4. Step 4: Simplify right side
    1,254.45x = 1,829,090.33
  5. Step 5: Solve for x
    x = 1,829,090.33/1,254.45
  6. Step 6: Final answer
    x = 1,458.08

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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.