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Finding the Fourth Proportional to 1,057.03, 1,576.88 and 1,027.24

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Solution

The fourth proportional to 1,057.03, 1,576.88 and 1,027.24 is: 1,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.03 : 1,576.88 = 1,027.24 : x
  2. Step 2: Convert to fraction form
    1,057.03/1,576.88 = 1,027.24/x
  3. Step 3: Cross multiply
    1,057.03x = 1,576.88 × 1,027.24
  4. Step 4: Simplify right side
    1,057.03x = 1,619,834.21
  5. Step 5: Solve for x
    x = 1,619,834.21/1,057.03
  6. Step 6: Final answer
    x = 1,532.44

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Why These Related Problems?

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