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Finding the Fourth Proportional to 1,020.73, 1,407.36 and 725.49

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Solution

The fourth proportional to 1,020.73, 1,407.36 and 725.49 is: 1,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.73 : 1,407.36 = 725.49 : x
  2. Step 2: Convert to fraction form
    1,020.73/1,407.36 = 725.49/x
  3. Step 3: Cross multiply
    1,020.73x = 1,407.36 × 725.49
  4. Step 4: Simplify right side
    1,020.73x = 1,021,025.61
  5. Step 5: Solve for x
    x = 1,021,025.61/1,020.73
  6. Step 6: Final answer
    x = 1,000.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.