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Finding the Fourth Proportional to 1,057.44, 1,577.76 and 1,007.04

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Solution

The fourth proportional to 1,057.44, 1,577.76 and 1,007.04 is: 1,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.44 : 1,577.76 = 1,007.04 : x
  2. Step 2: Convert to fraction form
    1,057.44/1,577.76 = 1,007.04/x
  3. Step 3: Cross multiply
    1,057.44x = 1,577.76 × 1,007.04
  4. Step 4: Simplify right side
    1,057.44x = 1,588,867.43
  5. Step 5: Solve for x
    x = 1,588,867.43/1,057.44
  6. Step 6: Final answer
    x = 1,502.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.