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Finding the Fourth Proportional to 1,021.80, 1,410.42 and 727.92

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Solution

The fourth proportional to 1,021.80, 1,410.42 and 727.92 is: 1,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.80 : 1,410.42 = 727.92 : x
  2. Step 2: Convert to fraction form
    1,021.80/1,410.42 = 727.92/x
  3. Step 3: Cross multiply
    1,021.80x = 1,410.42 × 727.92
  4. Step 4: Simplify right side
    1,021.80x = 1,026,672.93
  5. Step 5: Solve for x
    x = 1,026,672.93/1,021.80
  6. Step 6: Final answer
    x = 1,004.77

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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.