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Finding the Fourth Proportional to 1,020.86, 1,529.28 and 673.13

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Solution

The fourth proportional to 1,020.86, 1,529.28 and 673.13 is: 1,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.86 : 1,529.28 = 673.13 : x
  2. Step 2: Convert to fraction form
    1,020.86/1,529.28 = 673.13/x
  3. Step 3: Cross multiply
    1,020.86x = 1,529.28 × 673.13
  4. Step 4: Simplify right side
    1,020.86x = 1,029,400.56
  5. Step 5: Solve for x
    x = 1,029,400.56/1,020.86
  6. Step 6: Final answer
    x = 1,008.37

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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.