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Finding the Fourth Proportional to 1,021.05, 1,532.16 and 673.56

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Solution

The fourth proportional to 1,021.05, 1,532.16 and 673.56 is: 1,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.05 : 1,532.16 = 673.56 : x
  2. Step 2: Convert to fraction form
    1,021.05/1,532.16 = 673.56/x
  3. Step 3: Cross multiply
    1,021.05x = 1,532.16 × 673.56
  4. Step 4: Simplify right side
    1,021.05x = 1,032,001.69
  5. Step 5: Solve for x
    x = 1,032,001.69/1,021.05
  6. Step 6: Final answer
    x = 1,010.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.